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Finding the Third Proportional to 518,719,872 and 1,120,261,617

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Solution

The third proportional to 518,719,872 and 1,120,261,617 is: 2,419,390,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,719,872 : 1,120,261,617 = 1,120,261,617 : x
  2. Step 2: Convert to fraction form
    518,719,872/1,120,261,617 = 1,120,261,617/x
  3. Step 3: Cross multiply
    518,719,872x = 1,120,261,617 × 1,120,261,617
  4. Step 4: Simplify right side
    518,719,872x = 1,254,986,090,523,454,720
  5. Step 5: Solve for x
    x = 1,254,986,090,523,454,720/518,719,872
  6. Step 6: Final answer
    x = 2,419,390,808.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.