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Finding the Third Proportional to 1,039,645.13 and 1,301,401.69

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Solution

The third proportional to 1,039,645.13 and 1,301,401.69 is: 1,629,061.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,645.13 : 1,301,401.69 = 1,301,401.69 : x
  2. Step 2: Convert to fraction form
    1,039,645.13/1,301,401.69 = 1,301,401.69/x
  3. Step 3: Cross multiply
    1,039,645.13x = 1,301,401.69 × 1,301,401.69
  4. Step 4: Simplify right side
    1,039,645.13x = 1,693,646,352,227.85
  5. Step 5: Solve for x
    x = 1,693,646,352,227.85/1,039,645.13
  6. Step 6: Final answer
    x = 1,629,061.99

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.