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Finding the Third Proportional to 611,230 and 1,327,643

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Solution

The third proportional to 611,230 and 1,327,643 is: 2,883,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,230 : 1,327,643 = 1,327,643 : x
  2. Step 2: Convert to fraction form
    611,230/1,327,643 = 1,327,643/x
  3. Step 3: Cross multiply
    611,230x = 1,327,643 × 1,327,643
  4. Step 4: Simplify right side
    611,230x = 1,762,635,935,449
  5. Step 5: Solve for x
    x = 1,762,635,935,449/611,230
  6. Step 6: Final answer
    x = 2,883,752.33

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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.