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Finding the Third Proportional to 762,923 and 1,154,204

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Solution

The third proportional to 762,923 and 1,154,204 is: 1,746,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,923 : 1,154,204 = 1,154,204 : x
  2. Step 2: Convert to fraction form
    762,923/1,154,204 = 1,154,204/x
  3. Step 3: Cross multiply
    762,923x = 1,154,204 × 1,154,204
  4. Step 4: Simplify right side
    762,923x = 1,332,186,873,616
  5. Step 5: Solve for x
    x = 1,332,186,873,616/762,923
  6. Step 6: Final answer
    x = 1,746,161.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.