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Finding the Third Proportional to 517,258,782 and 1,129,327,956

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Solution

The third proportional to 517,258,782 and 1,129,327,956 is: 2,465,654,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,258,782 : 1,129,327,956 = 1,129,327,956 : x
  2. Step 2: Convert to fraction form
    517,258,782/1,129,327,956 = 1,129,327,956/x
  3. Step 3: Cross multiply
    517,258,782x = 1,129,327,956 × 1,129,327,956
  4. Step 4: Simplify right side
    517,258,782x = 1,275,381,632,203,138,048
  5. Step 5: Solve for x
    x = 1,275,381,632,203,138,048/517,258,782
  6. Step 6: Final answer
    x = 2,465,654,864.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.