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Finding the Third Proportional to 827,874 and 1,214,559

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Solution

The third proportional to 827,874 and 1,214,559 is: 1,781,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,874 : 1,214,559 = 1,214,559 : x
  2. Step 2: Convert to fraction form
    827,874/1,214,559 = 1,214,559/x
  3. Step 3: Cross multiply
    827,874x = 1,214,559 × 1,214,559
  4. Step 4: Simplify right side
    827,874x = 1,475,153,564,481
  5. Step 5: Solve for x
    x = 1,475,153,564,481/827,874
  6. Step 6: Final answer
    x = 1,781,857.58

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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.