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Finding the Third Proportional to 478,682 and 1,036,612

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Solution

The third proportional to 478,682 and 1,036,612 is: 2,244,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,682 : 1,036,612 = 1,036,612 : x
  2. Step 2: Convert to fraction form
    478,682/1,036,612 = 1,036,612/x
  3. Step 3: Cross multiply
    478,682x = 1,036,612 × 1,036,612
  4. Step 4: Simplify right side
    478,682x = 1,074,564,438,544
  5. Step 5: Solve for x
    x = 1,074,564,438,544/478,682
  6. Step 6: Final answer
    x = 2,244,839.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.