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Finding the Third Proportional to 1,211,586.75 and 1,900,789.88

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Solution

The third proportional to 1,211,586.75 and 1,900,789.88 is: 2,982,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,586.75 : 1,900,789.88 = 1,900,789.88 : x
  2. Step 2: Convert to fraction form
    1,211,586.75/1,900,789.88 = 1,900,789.88/x
  3. Step 3: Cross multiply
    1,211,586.75x = 1,900,789.88 × 1,900,789.88
  4. Step 4: Simplify right side
    1,211,586.75x = 3,613,002,148,902.52
  5. Step 5: Solve for x
    x = 3,613,002,148,902.52/1,211,586.75
  6. Step 6: Final answer
    x = 2,982,041.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.