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Finding the Third Proportional to 865,838 and 1,265,241

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Solution

The third proportional to 865,838 and 1,265,241 is: 1,848,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,838 : 1,265,241 = 1,265,241 : x
  2. Step 2: Convert to fraction form
    865,838/1,265,241 = 1,265,241/x
  3. Step 3: Cross multiply
    865,838x = 1,265,241 × 1,265,241
  4. Step 4: Simplify right side
    865,838x = 1,600,834,788,081
  5. Step 5: Solve for x
    x = 1,600,834,788,081/865,838
  6. Step 6: Final answer
    x = 1,848,884.88

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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.