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Finding the Third Proportional to 706,228 and 1,569,375

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Solution

The third proportional to 706,228 and 1,569,375 is: 3,487,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,228 : 1,569,375 = 1,569,375 : x
  2. Step 2: Convert to fraction form
    706,228/1,569,375 = 1,569,375/x
  3. Step 3: Cross multiply
    706,228x = 1,569,375 × 1,569,375
  4. Step 4: Simplify right side
    706,228x = 2,462,937,890,625
  5. Step 5: Solve for x
    x = 2,462,937,890,625/706,228
  6. Step 6: Final answer
    x = 3,487,454.32

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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.