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Finding the Third Proportional to 389,110 and 838,259

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Solution

The third proportional to 389,110 and 838,259 is: 1,805,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,110 : 838,259 = 838,259 : x
  2. Step 2: Convert to fraction form
    389,110/838,259 = 838,259/x
  3. Step 3: Cross multiply
    389,110x = 838,259 × 838,259
  4. Step 4: Simplify right side
    389,110x = 702,678,151,081
  5. Step 5: Solve for x
    x = 702,678,151,081/389,110
  6. Step 6: Final answer
    x = 1,805,859.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.