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Finding the Third Proportional to 549,657,804 and 1,198,080,524.25

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Solution

The third proportional to 549,657,804 and 1,198,080,524.25 is: 2,611,437,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,657,804 : 1,198,080,524.25 = 1,198,080,524.25 : x
  2. Step 2: Convert to fraction form
    549,657,804/1,198,080,524.25 = 1,198,080,524.25/x
  3. Step 3: Cross multiply
    549,657,804x = 1,198,080,524.25 × 1,198,080,524.25
  4. Step 4: Simplify right side
    549,657,804x = 1,435,396,942,587,154,944
  5. Step 5: Solve for x
    x = 1,435,396,942,587,154,944/549,657,804
  6. Step 6: Final answer
    x = 2,611,437,392.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.