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Finding the Third Proportional to 498,618 and 1,096,920

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Solution

The third proportional to 498,618 and 1,096,920 is: 2,413,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,618 : 1,096,920 = 1,096,920 : x
  2. Step 2: Convert to fraction form
    498,618/1,096,920 = 1,096,920/x
  3. Step 3: Cross multiply
    498,618x = 1,096,920 × 1,096,920
  4. Step 4: Simplify right side
    498,618x = 1,203,233,486,400
  5. Step 5: Solve for x
    x = 1,203,233,486,400/498,618
  6. Step 6: Final answer
    x = 2,413,136.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.