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Finding the Third Proportional to 725,126 and 1,019,324

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Solution

The third proportional to 725,126 and 1,019,324 is: 1,432,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,126 : 1,019,324 = 1,019,324 : x
  2. Step 2: Convert to fraction form
    725,126/1,019,324 = 1,019,324/x
  3. Step 3: Cross multiply
    725,126x = 1,019,324 × 1,019,324
  4. Step 4: Simplify right side
    725,126x = 1,039,021,416,976
  5. Step 5: Solve for x
    x = 1,039,021,416,976/725,126
  6. Step 6: Final answer
    x = 1,432,883.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.