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Finding the Third Proportional to 1,910,745 and 2,982,393

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Solution

The third proportional to 1,910,745 and 2,982,393 is: 4,655,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910,745 : 2,982,393 = 2,982,393 : x
  2. Step 2: Convert to fraction form
    1,910,745/2,982,393 = 2,982,393/x
  3. Step 3: Cross multiply
    1,910,745x = 2,982,393 × 2,982,393
  4. Step 4: Simplify right side
    1,910,745x = 8,894,668,006,449
  5. Step 5: Solve for x
    x = 8,894,668,006,449/1,910,745
  6. Step 6: Final answer
    x = 4,655,078.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.