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Finding the Third Proportional to 716,954 and 1,100,496

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Solution

The third proportional to 716,954 and 1,100,496 is: 1,689,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,954 : 1,100,496 = 1,100,496 : x
  2. Step 2: Convert to fraction form
    716,954/1,100,496 = 1,100,496/x
  3. Step 3: Cross multiply
    716,954x = 1,100,496 × 1,100,496
  4. Step 4: Simplify right side
    716,954x = 1,211,091,446,016
  5. Step 5: Solve for x
    x = 1,211,091,446,016/716,954
  6. Step 6: Final answer
    x = 1,689,217.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.