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Finding the Third Proportional to 518,719,914 and 1,120,261,697

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Solution

The third proportional to 518,719,914 and 1,120,261,697 is: 2,419,390,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,719,914 : 1,120,261,697 = 1,120,261,697 : x
  2. Step 2: Convert to fraction form
    518,719,914/1,120,261,697 = 1,120,261,697/x
  3. Step 3: Cross multiply
    518,719,914x = 1,120,261,697 × 1,120,261,697
  4. Step 4: Simplify right side
    518,719,914x = 1,254,986,269,765,319,936
  5. Step 5: Solve for x
    x = 1,254,986,269,765,319,936/518,719,914
  6. Step 6: Final answer
    x = 2,419,390,958.19

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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.