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Finding the Third Proportional to 549,657,802 and 1,198,080,525

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Solution

The third proportional to 549,657,802 and 1,198,080,525 is: 2,611,437,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,657,802 : 1,198,080,525 = 1,198,080,525 : x
  2. Step 2: Convert to fraction form
    549,657,802/1,198,080,525 = 1,198,080,525/x
  3. Step 3: Cross multiply
    549,657,802x = 1,198,080,525 × 1,198,080,525
  4. Step 4: Simplify right side
    549,657,802x = 1,435,396,944,384,275,712
  5. Step 5: Solve for x
    x = 1,435,396,944,384,275,712/549,657,802
  6. Step 6: Final answer
    x = 2,611,437,405.53

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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.