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Finding the Third Proportional to 643,716 and 945,867

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Solution

The third proportional to 643,716 and 945,867 is: 1,389,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,716 : 945,867 = 945,867 : x
  2. Step 2: Convert to fraction form
    643,716/945,867 = 945,867/x
  3. Step 3: Cross multiply
    643,716x = 945,867 × 945,867
  4. Step 4: Simplify right side
    643,716x = 894,664,381,689
  5. Step 5: Solve for x
    x = 894,664,381,689/643,716
  6. Step 6: Final answer
    x = 1,389,843.32

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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.