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Finding the Third Proportional to 1,165,860 and 2,508,868.50

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Solution

The third proportional to 1,165,860 and 2,508,868.50 is: 5,398,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,860 : 2,508,868.50 = 2,508,868.50 : x
  2. Step 2: Convert to fraction form
    1,165,860/2,508,868.50 = 2,508,868.50/x
  3. Step 3: Cross multiply
    1,165,860x = 2,508,868.50 × 2,508,868.50
  4. Step 4: Simplify right side
    1,165,860x = 6,294,421,150,292.25
  5. Step 5: Solve for x
    x = 6,294,421,150,292.25/1,165,860
  6. Step 6: Final answer
    x = 5,398,951.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.