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Finding the Third Proportional to 611,194.95 and 1,327,478.03

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Solution

The third proportional to 611,194.95 and 1,327,478.03 is: 2,883,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,194.95 : 1,327,478.03 = 1,327,478.03 : x
  2. Step 2: Convert to fraction form
    611,194.95/1,327,478.03 = 1,327,478.03/x
  3. Step 3: Cross multiply
    611,194.95x = 1,327,478.03 × 1,327,478.03
  4. Step 4: Simplify right side
    611,194.95x = 1,762,197,924,747.79
  5. Step 5: Solve for x
    x = 1,762,197,924,747.79/611,194.95
  6. Step 6: Final answer
    x = 2,883,201.04

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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.