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Finding the Third Proportional to 1,228,165,902 and 1,756,291,734

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Solution

The third proportional to 1,228,165,902 and 1,756,291,734 is: 2,511,517,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,165,902 : 1,756,291,734 = 1,756,291,734 : x
  2. Step 2: Convert to fraction form
    1,228,165,902/1,756,291,734 = 1,756,291,734/x
  3. Step 3: Cross multiply
    1,228,165,902x = 1,756,291,734 × 1,756,291,734
  4. Step 4: Simplify right side
    1,228,165,902x = 3,084,560,654,916,726,784
  5. Step 5: Solve for x
    x = 3,084,560,654,916,726,784/1,228,165,902
  6. Step 6: Final answer
    x = 2,511,517,906.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.