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Finding the Third Proportional to 865,836 and 1,265,238

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Solution

The third proportional to 865,836 and 1,265,238 is: 1,848,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,836 : 1,265,238 = 1,265,238 : x
  2. Step 2: Convert to fraction form
    865,836/1,265,238 = 1,265,238/x
  3. Step 3: Cross multiply
    865,836x = 1,265,238 × 1,265,238
  4. Step 4: Simplify right side
    865,836x = 1,600,827,196,644
  5. Step 5: Solve for x
    x = 1,600,827,196,644/865,836
  6. Step 6: Final answer
    x = 1,848,880.38

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