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Finding the Third Proportional to 564,524 and 1,217,680

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Solution

The third proportional to 564,524 and 1,217,680 is: 2,626,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,524 : 1,217,680 = 1,217,680 : x
  2. Step 2: Convert to fraction form
    564,524/1,217,680 = 1,217,680/x
  3. Step 3: Cross multiply
    564,524x = 1,217,680 × 1,217,680
  4. Step 4: Simplify right side
    564,524x = 1,482,744,582,400
  5. Step 5: Solve for x
    x = 1,482,744,582,400/564,524
  6. Step 6: Final answer
    x = 2,626,539.50

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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.