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Finding the Third Proportional to 878,692 and 1,827,357

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Solution

The third proportional to 878,692 and 1,827,357 is: 3,800,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,692 : 1,827,357 = 1,827,357 : x
  2. Step 2: Convert to fraction form
    878,692/1,827,357 = 1,827,357/x
  3. Step 3: Cross multiply
    878,692x = 1,827,357 × 1,827,357
  4. Step 4: Simplify right side
    878,692x = 3,339,233,605,449
  5. Step 5: Solve for x
    x = 3,339,233,605,449/878,692
  6. Step 6: Final answer
    x = 3,800,232.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.