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Finding the Third Proportional to 817,461 and 1,275,867

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Solution

The third proportional to 817,461 and 1,275,867 is: 1,991,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,461 : 1,275,867 = 1,275,867 : x
  2. Step 2: Convert to fraction form
    817,461/1,275,867 = 1,275,867/x
  3. Step 3: Cross multiply
    817,461x = 1,275,867 × 1,275,867
  4. Step 4: Simplify right side
    817,461x = 1,627,836,601,689
  5. Step 5: Solve for x
    x = 1,627,836,601,689/817,461
  6. Step 6: Final answer
    x = 1,991,332.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.