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Finding the Third Proportional to 517,258,784 and 1,129,327,960

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Solution

The third proportional to 517,258,784 and 1,129,327,960 is: 2,465,654,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,258,784 : 1,129,327,960 = 1,129,327,960 : x
  2. Step 2: Convert to fraction form
    517,258,784/1,129,327,960 = 1,129,327,960/x
  3. Step 3: Cross multiply
    517,258,784x = 1,129,327,960 × 1,129,327,960
  4. Step 4: Simplify right side
    517,258,784x = 1,275,381,641,237,761,536
  5. Step 5: Solve for x
    x = 1,275,381,641,237,761,536/517,258,784
  6. Step 6: Final answer
    x = 2,465,654,872.74

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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.