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Finding the Third Proportional to 549,612 and 1,205,496

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Solution

The third proportional to 549,612 and 1,205,496 is: 2,644,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,612 : 1,205,496 = 1,205,496 : x
  2. Step 2: Convert to fraction form
    549,612/1,205,496 = 1,205,496/x
  3. Step 3: Cross multiply
    549,612x = 1,205,496 × 1,205,496
  4. Step 4: Simplify right side
    549,612x = 1,453,220,606,016
  5. Step 5: Solve for x
    x = 1,453,220,606,016/549,612
  6. Step 6: Final answer
    x = 2,644,084.57

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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.