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Finding the Third Proportional to 539,306 and 1,170,286

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Solution

The third proportional to 539,306 and 1,170,286 is: 2,539,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,306 : 1,170,286 = 1,170,286 : x
  2. Step 2: Convert to fraction form
    539,306/1,170,286 = 1,170,286/x
  3. Step 3: Cross multiply
    539,306x = 1,170,286 × 1,170,286
  4. Step 4: Simplify right side
    539,306x = 1,369,569,321,796
  5. Step 5: Solve for x
    x = 1,369,569,321,796/539,306
  6. Step 6: Final answer
    x = 2,539,503.22

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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.