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Finding the Third Proportional to 498,437 and 1,096,521

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Solution

The third proportional to 498,437 and 1,096,521 is: 2,412,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,437 : 1,096,521 = 1,096,521 : x
  2. Step 2: Convert to fraction form
    498,437/1,096,521 = 1,096,521/x
  3. Step 3: Cross multiply
    498,437x = 1,096,521 × 1,096,521
  4. Step 4: Simplify right side
    498,437x = 1,202,358,303,441
  5. Step 5: Solve for x
    x = 1,202,358,303,441/498,437
  6. Step 6: Final answer
    x = 2,412,257.32

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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.