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Finding the Third Proportional to 1,266,553.13 and 1,866,331.13

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Solution

The third proportional to 1,266,553.13 and 1,866,331.13 is: 2,750,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,553.13 : 1,866,331.13 = 1,866,331.13 : x
  2. Step 2: Convert to fraction form
    1,266,553.13/1,866,331.13 = 1,866,331.13/x
  3. Step 3: Cross multiply
    1,266,553.13x = 1,866,331.13 × 1,866,331.13
  4. Step 4: Simplify right side
    1,266,553.13x = 3,483,191,868,143.77
  5. Step 5: Solve for x
    x = 3,483,191,868,143.77/1,266,553.13
  6. Step 6: Final answer
    x = 2,750,134.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.