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Finding the Third Proportional to 968,716 and 1,329,782

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Solution

The third proportional to 968,716 and 1,329,782 is: 1,825,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,716 : 1,329,782 = 1,329,782 : x
  2. Step 2: Convert to fraction form
    968,716/1,329,782 = 1,329,782/x
  3. Step 3: Cross multiply
    968,716x = 1,329,782 × 1,329,782
  4. Step 4: Simplify right side
    968,716x = 1,768,320,167,524
  5. Step 5: Solve for x
    x = 1,768,320,167,524/968,716
  6. Step 6: Final answer
    x = 1,825,426.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.