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Finding the Third Proportional to 766,011.94 and 1,650,187.69

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Solution

The third proportional to 766,011.94 and 1,650,187.69 is: 3,554,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,011.94 : 1,650,187.69 = 1,650,187.69 : x
  2. Step 2: Convert to fraction form
    766,011.94/1,650,187.69 = 1,650,187.69/x
  3. Step 3: Cross multiply
    766,011.94x = 1,650,187.69 × 1,650,187.69
  4. Step 4: Simplify right side
    766,011.94x = 2,723,119,403,976.60
  5. Step 5: Solve for x
    x = 2,723,119,403,976.60/766,011.94
  6. Step 6: Final answer
    x = 3,554,930.77

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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.