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Finding the Third Proportional to 564,708 and 1,217,382

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Solution

The third proportional to 564,708 and 1,217,382 is: 2,624,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,708 : 1,217,382 = 1,217,382 : x
  2. Step 2: Convert to fraction form
    564,708/1,217,382 = 1,217,382/x
  3. Step 3: Cross multiply
    564,708x = 1,217,382 × 1,217,382
  4. Step 4: Simplify right side
    564,708x = 1,482,018,933,924
  5. Step 5: Solve for x
    x = 1,482,018,933,924/564,708
  6. Step 6: Final answer
    x = 2,624,398.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.