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Finding the Third Proportional to 706,372 and 1,569,663

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Solution

The third proportional to 706,372 and 1,569,663 is: 3,488,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,372 : 1,569,663 = 1,569,663 : x
  2. Step 2: Convert to fraction form
    706,372/1,569,663 = 1,569,663/x
  3. Step 3: Cross multiply
    706,372x = 1,569,663 × 1,569,663
  4. Step 4: Simplify right side
    706,372x = 2,463,841,933,569
  5. Step 5: Solve for x
    x = 2,463,841,933,569/706,372
  6. Step 6: Final answer
    x = 3,488,023.21

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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.