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Finding the Third Proportional to 633,963 and 928,186

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Solution

The third proportional to 633,963 and 928,186 is: 1,358,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,963 : 928,186 = 928,186 : x
  2. Step 2: Convert to fraction form
    633,963/928,186 = 928,186/x
  3. Step 3: Cross multiply
    633,963x = 928,186 × 928,186
  4. Step 4: Simplify right side
    633,963x = 861,529,250,596
  5. Step 5: Solve for x
    x = 861,529,250,596/633,963
  6. Step 6: Final answer
    x = 1,358,958.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.