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Finding the Third Proportional to 739,867,124 and 1,540,943,032

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Solution

The third proportional to 739,867,124 and 1,540,943,032 is: 3,209,367,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,867,124 : 1,540,943,032 = 1,540,943,032 : x
  2. Step 2: Convert to fraction form
    739,867,124/1,540,943,032 = 1,540,943,032/x
  3. Step 3: Cross multiply
    739,867,124x = 1,540,943,032 × 1,540,943,032
  4. Step 4: Simplify right side
    739,867,124x = 2,374,505,427,869,352,960
  5. Step 5: Solve for x
    x = 2,374,505,427,869,352,960/739,867,124
  6. Step 6: Final answer
    x = 3,209,367,399.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.