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Finding the Third Proportional to 417,933,548 and 975,943,214

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Solution

The third proportional to 417,933,548 and 975,943,214 is: 2,278,987,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,933,548 : 975,943,214 = 975,943,214 : x
  2. Step 2: Convert to fraction form
    417,933,548/975,943,214 = 975,943,214/x
  3. Step 3: Cross multiply
    417,933,548x = 975,943,214 × 975,943,214
  4. Step 4: Simplify right side
    417,933,548x = 952,465,156,952,649,856
  5. Step 5: Solve for x
    x = 952,465,156,952,649,856/417,933,548
  6. Step 6: Final answer
    x = 2,278,987,081.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.