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Finding the Third Proportional to 516,823,948 and 794,394,198

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Solution

The third proportional to 516,823,948 and 794,394,198 is: 1,221,038,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,823,948 : 794,394,198 = 794,394,198 : x
  2. Step 2: Convert to fraction form
    516,823,948/794,394,198 = 794,394,198/x
  3. Step 3: Cross multiply
    516,823,948x = 794,394,198 × 794,394,198
  4. Step 4: Simplify right side
    516,823,948x = 631,062,141,816,063,232
  5. Step 5: Solve for x
    x = 631,062,141,816,063,232/516,823,948
  6. Step 6: Final answer
    x = 1,221,038,893.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.