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Finding the Third Proportional to 549,740.25 and 1,193,481

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Solution

The third proportional to 549,740.25 and 1,193,481 is: 2,591,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,740.25 : 1,193,481 = 1,193,481 : x
  2. Step 2: Convert to fraction form
    549,740.25/1,193,481 = 1,193,481/x
  3. Step 3: Cross multiply
    549,740.25x = 1,193,481 × 1,193,481
  4. Step 4: Simplify right side
    549,740.25x = 1,424,396,897,361
  5. Step 5: Solve for x
    x = 1,424,396,897,361/549,740.25
  6. Step 6: Final answer
    x = 2,591,036.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.