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Finding the Third Proportional to 563,877 and 1,215,780

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Solution

The third proportional to 563,877 and 1,215,780 is: 2,621,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,877 : 1,215,780 = 1,215,780 : x
  2. Step 2: Convert to fraction form
    563,877/1,215,780 = 1,215,780/x
  3. Step 3: Cross multiply
    563,877x = 1,215,780 × 1,215,780
  4. Step 4: Simplify right side
    563,877x = 1,478,121,008,400
  5. Step 5: Solve for x
    x = 1,478,121,008,400/563,877
  6. Step 6: Final answer
    x = 2,621,353.61

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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.