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Finding the Third Proportional to 539,301 and 1,170,273

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Solution

The third proportional to 539,301 and 1,170,273 is: 2,539,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,301 : 1,170,273 = 1,170,273 : x
  2. Step 2: Convert to fraction form
    539,301/1,170,273 = 1,170,273/x
  3. Step 3: Cross multiply
    539,301x = 1,170,273 × 1,170,273
  4. Step 4: Simplify right side
    539,301x = 1,369,538,894,529
  5. Step 5: Solve for x
    x = 1,369,538,894,529/539,301
  6. Step 6: Final answer
    x = 2,539,470.34

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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.