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Finding the Third Proportional to 987,000,595.88 and 1,533,213,194.63

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Solution

The third proportional to 987,000,595.88 and 1,533,213,194.63 is: 2,381,703,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,000,595.88 : 1,533,213,194.63 = 1,533,213,194.63 : x
  2. Step 2: Convert to fraction form
    987,000,595.88/1,533,213,194.63 = 1,533,213,194.63/x
  3. Step 3: Cross multiply
    987,000,595.88x = 1,533,213,194.63 × 1,533,213,194.63
  4. Step 4: Simplify right side
    987,000,595.88x = 2,350,742,700,172,197,888
  5. Step 5: Solve for x
    x = 2,350,742,700,172,197,888/987,000,595.88
  6. Step 6: Final answer
    x = 2,381,703,425.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.