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Finding the Third Proportional to 691,142 and 1,081,859

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Solution

The third proportional to 691,142 and 1,081,859 is: 1,693,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,142 : 1,081,859 = 1,081,859 : x
  2. Step 2: Convert to fraction form
    691,142/1,081,859 = 1,081,859/x
  3. Step 3: Cross multiply
    691,142x = 1,081,859 × 1,081,859
  4. Step 4: Simplify right side
    691,142x = 1,170,418,895,881
  5. Step 5: Solve for x
    x = 1,170,418,895,881/691,142
  6. Step 6: Final answer
    x = 1,693,456.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.