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Finding the Third Proportional to 856,068 and 1,327,384

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Solution

The third proportional to 856,068 and 1,327,384 is: 2,058,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,068 : 1,327,384 = 1,327,384 : x
  2. Step 2: Convert to fraction form
    856,068/1,327,384 = 1,327,384/x
  3. Step 3: Cross multiply
    856,068x = 1,327,384 × 1,327,384
  4. Step 4: Simplify right side
    856,068x = 1,761,948,283,456
  5. Step 5: Solve for x
    x = 1,761,948,283,456/856,068
  6. Step 6: Final answer
    x = 2,058,187.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.