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Finding the Third Proportional to 827,890 and 1,214,568

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Solution

The third proportional to 827,890 and 1,214,568 is: 1,781,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,890 : 1,214,568 = 1,214,568 : x
  2. Step 2: Convert to fraction form
    827,890/1,214,568 = 1,214,568/x
  3. Step 3: Cross multiply
    827,890x = 1,214,568 × 1,214,568
  4. Step 4: Simplify right side
    827,890x = 1,475,175,426,624
  5. Step 5: Solve for x
    x = 1,475,175,426,624/827,890
  6. Step 6: Final answer
    x = 1,781,849.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.