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Finding the Third Proportional to 491,396 and 1,071,730

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Solution

The third proportional to 491,396 and 1,071,730 is: 2,337,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,396 : 1,071,730 = 1,071,730 : x
  2. Step 2: Convert to fraction form
    491,396/1,071,730 = 1,071,730/x
  3. Step 3: Cross multiply
    491,396x = 1,071,730 × 1,071,730
  4. Step 4: Simplify right side
    491,396x = 1,148,605,192,900
  5. Step 5: Solve for x
    x = 1,148,605,192,900/491,396
  6. Step 6: Final answer
    x = 2,337,432.93

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Why These Related Problems?

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