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Finding the Third Proportional to 478,446 and 1,036,164

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Solution

The third proportional to 478,446 and 1,036,164 is: 2,244,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,446 : 1,036,164 = 1,036,164 : x
  2. Step 2: Convert to fraction form
    478,446/1,036,164 = 1,036,164/x
  3. Step 3: Cross multiply
    478,446x = 1,036,164 × 1,036,164
  4. Step 4: Simplify right side
    478,446x = 1,073,635,834,896
  5. Step 5: Solve for x
    x = 1,073,635,834,896/478,446
  6. Step 6: Final answer
    x = 2,244,006.29

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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.