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Finding the Third Proportional to 564,825 and 1,241,598

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Solution

The third proportional to 564,825 and 1,241,598 is: 2,729,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,825 : 1,241,598 = 1,241,598 : x
  2. Step 2: Convert to fraction form
    564,825/1,241,598 = 1,241,598/x
  3. Step 3: Cross multiply
    564,825x = 1,241,598 × 1,241,598
  4. Step 4: Simplify right side
    564,825x = 1,541,565,593,604
  5. Step 5: Solve for x
    x = 1,541,565,593,604/564,825
  6. Step 6: Final answer
    x = 2,729,280.03

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