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Finding the Third Proportional to 549,716 and 1,182,539

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Solution

The third proportional to 549,716 and 1,182,539 is: 2,543,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,716 : 1,182,539 = 1,182,539 : x
  2. Step 2: Convert to fraction form
    549,716/1,182,539 = 1,182,539/x
  3. Step 3: Cross multiply
    549,716x = 1,182,539 × 1,182,539
  4. Step 4: Simplify right side
    549,716x = 1,398,398,486,521
  5. Step 5: Solve for x
    x = 1,398,398,486,521/549,716
  6. Step 6: Final answer
    x = 2,543,856.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.