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Finding the Third Proportional to 516,823,946 and 794,394,195

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Solution

The third proportional to 516,823,946 and 794,394,195 is: 1,221,038,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,823,946 : 794,394,195 = 794,394,195 : x
  2. Step 2: Convert to fraction form
    516,823,946/794,394,195 = 794,394,195/x
  3. Step 3: Cross multiply
    516,823,946x = 794,394,195 × 794,394,195
  4. Step 4: Simplify right side
    516,823,946x = 631,062,137,049,698,048
  5. Step 5: Solve for x
    x = 631,062,137,049,698,048/516,823,946
  6. Step 6: Final answer
    x = 1,221,038,889.42

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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.