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Finding the Third Proportional to 648,960 and 1,394,496

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Solution

The third proportional to 648,960 and 1,394,496 is: 2,996,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,960 : 1,394,496 = 1,394,496 : x
  2. Step 2: Convert to fraction form
    648,960/1,394,496 = 1,394,496/x
  3. Step 3: Cross multiply
    648,960x = 1,394,496 × 1,394,496
  4. Step 4: Simplify right side
    648,960x = 1,944,619,094,016
  5. Step 5: Solve for x
    x = 1,944,619,094,016/648,960
  6. Step 6: Final answer
    x = 2,996,516.11

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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.