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Finding the Third Proportional to 658,374 and 1,538,367

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Solution

The third proportional to 658,374 and 1,538,367 is: 3,594,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,374 : 1,538,367 = 1,538,367 : x
  2. Step 2: Convert to fraction form
    658,374/1,538,367 = 1,538,367/x
  3. Step 3: Cross multiply
    658,374x = 1,538,367 × 1,538,367
  4. Step 4: Simplify right side
    658,374x = 2,366,573,026,689
  5. Step 5: Solve for x
    x = 2,366,573,026,689/658,374
  6. Step 6: Final answer
    x = 3,594,572.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.