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Finding the Third Proportional to 564,102 and 1,239,822

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Solution

The third proportional to 564,102 and 1,239,822 is: 2,724,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,102 : 1,239,822 = 1,239,822 : x
  2. Step 2: Convert to fraction form
    564,102/1,239,822 = 1,239,822/x
  3. Step 3: Cross multiply
    564,102x = 1,239,822 × 1,239,822
  4. Step 4: Simplify right side
    564,102x = 1,537,158,591,684
  5. Step 5: Solve for x
    x = 1,537,158,591,684/564,102
  6. Step 6: Final answer
    x = 2,724,965.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.