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Finding the Third Proportional to 665,048 and 1,377,394

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Solution

The third proportional to 665,048 and 1,377,394 is: 2,852,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,048 : 1,377,394 = 1,377,394 : x
  2. Step 2: Convert to fraction form
    665,048/1,377,394 = 1,377,394/x
  3. Step 3: Cross multiply
    665,048x = 1,377,394 × 1,377,394
  4. Step 4: Simplify right side
    665,048x = 1,897,214,231,236
  5. Step 5: Solve for x
    x = 1,897,214,231,236/665,048
  6. Step 6: Final answer
    x = 2,852,747.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.