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Finding the Third Proportional to 562,642 and 1,327,347

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Solution

The third proportional to 562,642 and 1,327,347 is: 3,131,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,642 : 1,327,347 = 1,327,347 : x
  2. Step 2: Convert to fraction form
    562,642/1,327,347 = 1,327,347/x
  3. Step 3: Cross multiply
    562,642x = 1,327,347 × 1,327,347
  4. Step 4: Simplify right side
    562,642x = 1,761,850,058,409
  5. Step 5: Solve for x
    x = 1,761,850,058,409/562,642
  6. Step 6: Final answer
    x = 3,131,387.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.