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Finding the Third Proportional to 1,266,402.09 and 1,896,139.13

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Solution

The third proportional to 1,266,402.09 and 1,896,139.13 is: 2,839,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,402.09 : 1,896,139.13 = 1,896,139.13 : x
  2. Step 2: Convert to fraction form
    1,266,402.09/1,896,139.13 = 1,896,139.13/x
  3. Step 3: Cross multiply
    1,266,402.09x = 1,896,139.13 × 1,896,139.13
  4. Step 4: Simplify right side
    1,266,402.09x = 3,595,343,581,355.77
  5. Step 5: Solve for x
    x = 3,595,343,581,355.77/1,266,402.09
  6. Step 6: Final answer
    x = 2,839,022.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.