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Finding the Third Proportional to 497,580,876 and 1,079,740,809

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Solution

The third proportional to 497,580,876 and 1,079,740,809 is: 2,343,016,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,580,876 : 1,079,740,809 = 1,079,740,809 : x
  2. Step 2: Convert to fraction form
    497,580,876/1,079,740,809 = 1,079,740,809/x
  3. Step 3: Cross multiply
    497,580,876x = 1,079,740,809 × 1,079,740,809
  4. Step 4: Simplify right side
    497,580,876x = 1,165,840,214,619,974,400
  5. Step 5: Solve for x
    x = 1,165,840,214,619,974,400/497,580,876
  6. Step 6: Final answer
    x = 2,343,016,524.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.