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Finding the Third Proportional to 827,165.50 and 1,277,422

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Solution

The third proportional to 827,165.50 and 1,277,422 is: 1,972,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,165.50 : 1,277,422 = 1,277,422 : x
  2. Step 2: Convert to fraction form
    827,165.50/1,277,422 = 1,277,422/x
  3. Step 3: Cross multiply
    827,165.50x = 1,277,422 × 1,277,422
  4. Step 4: Simplify right side
    827,165.50x = 1,631,806,966,084
  5. Step 5: Solve for x
    x = 1,631,806,966,084/827,165.50
  6. Step 6: Final answer
    x = 1,972,769.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.