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Finding the Third Proportional to 826,489,544 and 1,798,255,460

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Solution

The third proportional to 826,489,544 and 1,798,255,460 is: 3,912,599,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,489,544 : 1,798,255,460 = 1,798,255,460 : x
  2. Step 2: Convert to fraction form
    826,489,544/1,798,255,460 = 1,798,255,460/x
  3. Step 3: Cross multiply
    826,489,544x = 1,798,255,460 × 1,798,255,460
  4. Step 4: Simplify right side
    826,489,544x = 3,233,722,699,419,811,840
  5. Step 5: Solve for x
    x = 3,233,722,699,419,811,840/826,489,544
  6. Step 6: Final answer
    x = 3,912,599,648.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.