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Finding the Third Proportional to 725,118 and 1,019,313

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Solution

The third proportional to 725,118 and 1,019,313 is: 1,432,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,118 : 1,019,313 = 1,019,313 : x
  2. Step 2: Convert to fraction form
    725,118/1,019,313 = 1,019,313/x
  3. Step 3: Cross multiply
    725,118x = 1,019,313 × 1,019,313
  4. Step 4: Simplify right side
    725,118x = 1,038,998,991,969
  5. Step 5: Solve for x
    x = 1,038,998,991,969/725,118
  6. Step 6: Final answer
    x = 1,432,868.85

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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.