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Finding the Third Proportional to 1,403,721 and 2,231,568

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Solution

The third proportional to 1,403,721 and 2,231,568 is: 3,547,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,721 : 2,231,568 = 2,231,568 : x
  2. Step 2: Convert to fraction form
    1,403,721/2,231,568 = 2,231,568/x
  3. Step 3: Cross multiply
    1,403,721x = 2,231,568 × 2,231,568
  4. Step 4: Simplify right side
    1,403,721x = 4,979,895,738,624
  5. Step 5: Solve for x
    x = 4,979,895,738,624/1,403,721
  6. Step 6: Final answer
    x = 3,547,639.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.