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Finding the Third Proportional to 823,836,520 and 1,243,416,001

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Solution

The third proportional to 823,836,520 and 1,243,416,001 is: 1,876,687,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,836,520 : 1,243,416,001 = 1,243,416,001 : x
  2. Step 2: Convert to fraction form
    823,836,520/1,243,416,001 = 1,243,416,001/x
  3. Step 3: Cross multiply
    823,836,520x = 1,243,416,001 × 1,243,416,001
  4. Step 4: Simplify right side
    823,836,520x = 1,546,083,351,542,832,128
  5. Step 5: Solve for x
    x = 1,546,083,351,542,832,128/823,836,520
  6. Step 6: Final answer
    x = 1,876,687,078.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.