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Finding the Third Proportional to 511,577,934 and 791,813,349

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Solution

The third proportional to 511,577,934 and 791,813,349 is: 1,225,557,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,577,934 : 791,813,349 = 791,813,349 : x
  2. Step 2: Convert to fraction form
    511,577,934/791,813,349 = 791,813,349/x
  3. Step 3: Cross multiply
    511,577,934x = 791,813,349 × 791,813,349
  4. Step 4: Simplify right side
    511,577,934x = 626,968,379,654,595,840
  5. Step 5: Solve for x
    x = 626,968,379,654,595,840/511,577,934
  6. Step 6: Final answer
    x = 1,225,557,902.30

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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.