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Finding the Third Proportional to 1,309,198.57 and 2,031,902.40

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Solution

The third proportional to 1,309,198.57 and 2,031,902.40 is: 3,153,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,198.57 : 2,031,902.40 = 2,031,902.40 : x
  2. Step 2: Convert to fraction form
    1,309,198.57/2,031,902.40 = 2,031,902.40/x
  3. Step 3: Cross multiply
    1,309,198.57x = 2,031,902.40 × 2,031,902.40
  4. Step 4: Simplify right side
    1,309,198.57x = 4,128,627,372,650.51
  5. Step 5: Solve for x
    x = 4,128,627,372,650.51/1,309,198.57
  6. Step 6: Final answer
    x = 3,153,553.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.