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Finding the Third Proportional to 543,414 and 1,194,397

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Solution

The third proportional to 543,414 and 1,194,397 is: 2,625,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,414 : 1,194,397 = 1,194,397 : x
  2. Step 2: Convert to fraction form
    543,414/1,194,397 = 1,194,397/x
  3. Step 3: Cross multiply
    543,414x = 1,194,397 × 1,194,397
  4. Step 4: Simplify right side
    543,414x = 1,426,584,193,609
  5. Step 5: Solve for x
    x = 1,426,584,193,609/543,414
  6. Step 6: Final answer
    x = 2,625,225.32

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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.