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Finding the Third Proportional to 598,588,712 and 1,286,290,384

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Solution

The third proportional to 598,588,712 and 1,286,290,384 is: 2,764,073,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,588,712 : 1,286,290,384 = 1,286,290,384 : x
  2. Step 2: Convert to fraction form
    598,588,712/1,286,290,384 = 1,286,290,384/x
  3. Step 3: Cross multiply
    598,588,712x = 1,286,290,384 × 1,286,290,384
  4. Step 4: Simplify right side
    598,588,712x = 1,654,542,951,970,867,456
  5. Step 5: Solve for x
    x = 1,654,542,951,970,867,456/598,588,712
  6. Step 6: Final answer
    x = 2,764,073,091.93

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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.