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Finding the Third Proportional to 415,361,556 and 886,327,344

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Solution

The third proportional to 415,361,556 and 886,327,344 is: 1,891,306,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,361,556 : 886,327,344 = 886,327,344 : x
  2. Step 2: Convert to fraction form
    415,361,556/886,327,344 = 886,327,344/x
  3. Step 3: Cross multiply
    415,361,556x = 886,327,344 × 886,327,344
  4. Step 4: Simplify right side
    415,361,556x = 785,576,160,722,094,336
  5. Step 5: Solve for x
    x = 785,576,160,722,094,336/415,361,556
  6. Step 6: Final answer
    x = 1,891,306,861.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.