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Finding the Third Proportional to 546,220 and 1,192,496

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Solution

The third proportional to 546,220 and 1,192,496 is: 2,603,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,220 : 1,192,496 = 1,192,496 : x
  2. Step 2: Convert to fraction form
    546,220/1,192,496 = 1,192,496/x
  3. Step 3: Cross multiply
    546,220x = 1,192,496 × 1,192,496
  4. Step 4: Simplify right side
    546,220x = 1,422,046,710,016
  5. Step 5: Solve for x
    x = 1,422,046,710,016/546,220
  6. Step 6: Final answer
    x = 2,603,432.15

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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.