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Finding the Third Proportional to 549,224,344 and 828,943,997

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Solution

The third proportional to 549,224,344 and 828,943,997 is: 1,251,124,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,224,344 : 828,943,997 = 828,943,997 : x
  2. Step 2: Convert to fraction form
    549,224,344/828,943,997 = 828,943,997/x
  3. Step 3: Cross multiply
    549,224,344x = 828,943,997 × 828,943,997
  4. Step 4: Simplify right side
    549,224,344x = 687,148,150,162,336,000
  5. Step 5: Solve for x
    x = 687,148,150,162,336,000/549,224,344
  6. Step 6: Final answer
    x = 1,251,124,713.73

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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.