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Finding the Third Proportional to 719,086.64 and 1,597,793.71

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Solution

The third proportional to 719,086.64 and 1,597,793.71 is: 3,550,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,086.64 : 1,597,793.71 = 1,597,793.71 : x
  2. Step 2: Convert to fraction form
    719,086.64/1,597,793.71 = 1,597,793.71/x
  3. Step 3: Cross multiply
    719,086.64x = 1,597,793.71 × 1,597,793.71
  4. Step 4: Simplify right side
    719,086.64x = 2,552,944,754,219.38
  5. Step 5: Solve for x
    x = 2,552,944,754,219.38/719,086.64
  6. Step 6: Final answer
    x = 3,550,260.30

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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.