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Finding the Third Proportional to 892,947,339 and 1,388,234,694

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Solution

The third proportional to 892,947,339 and 1,388,234,694 is: 2,158,241,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,947,339 : 1,388,234,694 = 1,388,234,694 : x
  2. Step 2: Convert to fraction form
    892,947,339/1,388,234,694 = 1,388,234,694/x
  3. Step 3: Cross multiply
    892,947,339x = 1,388,234,694 × 1,388,234,694
  4. Step 4: Simplify right side
    892,947,339x = 1,927,195,565,625,273,600
  5. Step 5: Solve for x
    x = 1,927,195,565,625,273,600/892,947,339
  6. Step 6: Final answer
    x = 2,158,241,008.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.