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Finding the Third Proportional to 987,000,580 and 1,533,213,169

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Solution

The third proportional to 987,000,580 and 1,533,213,169 is: 2,381,703,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,000,580 : 1,533,213,169 = 1,533,213,169 : x
  2. Step 2: Convert to fraction form
    987,000,580/1,533,213,169 = 1,533,213,169/x
  3. Step 3: Cross multiply
    987,000,580x = 1,533,213,169 × 1,533,213,169
  4. Step 4: Simplify right side
    987,000,580x = 2,350,742,621,595,022,336
  5. Step 5: Solve for x
    x = 2,350,742,621,595,022,336/987,000,580
  6. Step 6: Final answer
    x = 2,381,703,384.20

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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.