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Finding the Third Proportional to 549,005 and 1,189,649

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Solution

The third proportional to 549,005 and 1,189,649 is: 2,577,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,005 : 1,189,649 = 1,189,649 : x
  2. Step 2: Convert to fraction form
    549,005/1,189,649 = 1,189,649/x
  3. Step 3: Cross multiply
    549,005x = 1,189,649 × 1,189,649
  4. Step 4: Simplify right side
    549,005x = 1,415,264,743,201
  5. Step 5: Solve for x
    x = 1,415,264,743,201/549,005
  6. Step 6: Final answer
    x = 2,577,872.23

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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.