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Finding the Third Proportional to 564,496 and 1,217,624

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Solution

The third proportional to 564,496 and 1,217,624 is: 2,626,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,496 : 1,217,624 = 1,217,624 : x
  2. Step 2: Convert to fraction form
    564,496/1,217,624 = 1,217,624/x
  3. Step 3: Cross multiply
    564,496x = 1,217,624 × 1,217,624
  4. Step 4: Simplify right side
    564,496x = 1,482,608,205,376
  5. Step 5: Solve for x
    x = 1,482,608,205,376/564,496
  6. Step 6: Final answer
    x = 2,626,428.19

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Why These Related Problems?

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