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Finding the Third Proportional to 539,656 and 1,172,620

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Solution

The third proportional to 539,656 and 1,172,620 is: 2,547,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,656 : 1,172,620 = 1,172,620 : x
  2. Step 2: Convert to fraction form
    539,656/1,172,620 = 1,172,620/x
  3. Step 3: Cross multiply
    539,656x = 1,172,620 × 1,172,620
  4. Step 4: Simplify right side
    539,656x = 1,375,037,664,400
  5. Step 5: Solve for x
    x = 1,375,037,664,400/539,656
  6. Step 6: Final answer
    x = 2,547,989.21

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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.