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Finding the Third Proportional to 1,681,632 and 2,417,472

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Solution

The third proportional to 1,681,632 and 2,417,472 is: 3,475,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,632 : 2,417,472 = 2,417,472 : x
  2. Step 2: Convert to fraction form
    1,681,632/2,417,472 = 2,417,472/x
  3. Step 3: Cross multiply
    1,681,632x = 2,417,472 × 2,417,472
  4. Step 4: Simplify right side
    1,681,632x = 5,844,170,870,784
  5. Step 5: Solve for x
    x = 5,844,170,870,784/1,681,632
  6. Step 6: Final answer
    x = 3,475,297.13

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.