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Finding the Third Proportional to 706,204 and 1,569,327

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Solution

The third proportional to 706,204 and 1,569,327 is: 3,487,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,204 : 1,569,327 = 1,569,327 : x
  2. Step 2: Convert to fraction form
    706,204/1,569,327 = 1,569,327/x
  3. Step 3: Cross multiply
    706,204x = 1,569,327 × 1,569,327
  4. Step 4: Simplify right side
    706,204x = 2,462,787,232,929
  5. Step 5: Solve for x
    x = 2,462,787,232,929/706,204
  6. Step 6: Final answer
    x = 3,487,359.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.