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Finding the Third Proportional to 376,708 and 889,087

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Solution

The third proportional to 376,708 and 889,087 is: 2,098,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,708 : 889,087 = 889,087 : x
  2. Step 2: Convert to fraction form
    376,708/889,087 = 889,087/x
  3. Step 3: Cross multiply
    376,708x = 889,087 × 889,087
  4. Step 4: Simplify right side
    376,708x = 790,475,693,569
  5. Step 5: Solve for x
    x = 790,475,693,569/376,708
  6. Step 6: Final answer
    x = 2,098,377.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.