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Finding the Third Proportional to 757,947.38 and 1,642,069.13

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Solution

The third proportional to 757,947.38 and 1,642,069.13 is: 3,557,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,947.38 : 1,642,069.13 = 1,642,069.13 : x
  2. Step 2: Convert to fraction form
    757,947.38/1,642,069.13 = 1,642,069.13/x
  3. Step 3: Cross multiply
    757,947.38x = 1,642,069.13 × 1,642,069.13
  4. Step 4: Simplify right side
    757,947.38x = 2,696,391,011,278.27
  5. Step 5: Solve for x
    x = 2,696,391,011,278.27/757,947.38
  6. Step 6: Final answer
    x = 3,557,491.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.