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Finding the Third Proportional to 549,601 and 1,205,474

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Solution

The third proportional to 549,601 and 1,205,474 is: 2,644,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,601 : 1,205,474 = 1,205,474 : x
  2. Step 2: Convert to fraction form
    549,601/1,205,474 = 1,205,474/x
  3. Step 3: Cross multiply
    549,601x = 1,205,474 × 1,205,474
  4. Step 4: Simplify right side
    549,601x = 1,453,167,564,676
  5. Step 5: Solve for x
    x = 1,453,167,564,676/549,601
  6. Step 6: Final answer
    x = 2,644,040.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.