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Finding the Third Proportional to 410,575,959 and 850,254,867

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Solution

The third proportional to 410,575,959 and 850,254,867 is: 1,760,778,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,575,959 : 850,254,867 = 850,254,867 : x
  2. Step 2: Convert to fraction form
    410,575,959/850,254,867 = 850,254,867/x
  3. Step 3: Cross multiply
    410,575,959x = 850,254,867 × 850,254,867
  4. Step 4: Simplify right side
    410,575,959x = 722,933,338,857,187,712
  5. Step 5: Solve for x
    x = 722,933,338,857,187,712/410,575,959
  6. Step 6: Final answer
    x = 1,760,778,542.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.