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Finding the Third Proportional to 803,832 and 1,071,561

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Solution

The third proportional to 803,832 and 1,071,561 is: 1,428,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,832 : 1,071,561 = 1,071,561 : x
  2. Step 2: Convert to fraction form
    803,832/1,071,561 = 1,071,561/x
  3. Step 3: Cross multiply
    803,832x = 1,071,561 × 1,071,561
  4. Step 4: Simplify right side
    803,832x = 1,148,242,976,721
  5. Step 5: Solve for x
    x = 1,148,242,976,721/803,832
  6. Step 6: Final answer
    x = 1,428,461.39

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.