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Finding the Third Proportional to 491,398 and 1,071,734

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Solution

The third proportional to 491,398 and 1,071,734 is: 2,337,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,398 : 1,071,734 = 1,071,734 : x
  2. Step 2: Convert to fraction form
    491,398/1,071,734 = 1,071,734/x
  3. Step 3: Cross multiply
    491,398x = 1,071,734 × 1,071,734
  4. Step 4: Simplify right side
    491,398x = 1,148,613,766,756
  5. Step 5: Solve for x
    x = 1,148,613,766,756/491,398
  6. Step 6: Final answer
    x = 2,337,440.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.