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Finding the Third Proportional to 642,386 and 1,383,436

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Solution

The third proportional to 642,386 and 1,383,436 is: 2,979,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,386 : 1,383,436 = 1,383,436 : x
  2. Step 2: Convert to fraction form
    642,386/1,383,436 = 1,383,436/x
  3. Step 3: Cross multiply
    642,386x = 1,383,436 × 1,383,436
  4. Step 4: Simplify right side
    642,386x = 1,913,895,166,096
  5. Step 5: Solve for x
    x = 1,913,895,166,096/642,386
  6. Step 6: Final answer
    x = 2,979,353.79

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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.