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Finding the Third Proportional to 647,451 and 1,015,662

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Solution

The third proportional to 647,451 and 1,015,662 is: 1,593,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,451 : 1,015,662 = 1,015,662 : x
  2. Step 2: Convert to fraction form
    647,451/1,015,662 = 1,015,662/x
  3. Step 3: Cross multiply
    647,451x = 1,015,662 × 1,015,662
  4. Step 4: Simplify right side
    647,451x = 1,031,569,298,244
  5. Step 5: Solve for x
    x = 1,031,569,298,244/647,451
  6. Step 6: Final answer
    x = 1,593,277.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.