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Finding the Third Proportional to 1,295,098.88 and 1,811,534.63

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Solution

The third proportional to 1,295,098.88 and 1,811,534.63 is: 2,533,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,098.88 : 1,811,534.63 = 1,811,534.63 : x
  2. Step 2: Convert to fraction form
    1,295,098.88/1,811,534.63 = 1,811,534.63/x
  3. Step 3: Cross multiply
    1,295,098.88x = 1,811,534.63 × 1,811,534.63
  4. Step 4: Simplify right side
    1,295,098.88x = 3,281,657,697,573.89
  5. Step 5: Solve for x
    x = 3,281,657,697,573.89/1,295,098.88
  6. Step 6: Final answer
    x = 2,533,905.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.