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Finding the Third Proportional to 542,397 and 1,166,422

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Solution

The third proportional to 542,397 and 1,166,422 is: 2,508,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,397 : 1,166,422 = 1,166,422 : x
  2. Step 2: Convert to fraction form
    542,397/1,166,422 = 1,166,422/x
  3. Step 3: Cross multiply
    542,397x = 1,166,422 × 1,166,422
  4. Step 4: Simplify right side
    542,397x = 1,360,540,282,084
  5. Step 5: Solve for x
    x = 1,360,540,282,084/542,397
  6. Step 6: Final answer
    x = 2,508,384.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.