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Finding the Third Proportional to 865,215 and 1,858,410

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Solution

The third proportional to 865,215 and 1,858,410 is: 3,991,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,215 : 1,858,410 = 1,858,410 : x
  2. Step 2: Convert to fraction form
    865,215/1,858,410 = 1,858,410/x
  3. Step 3: Cross multiply
    865,215x = 1,858,410 × 1,858,410
  4. Step 4: Simplify right side
    865,215x = 3,453,687,728,100
  5. Step 5: Solve for x
    x = 3,453,687,728,100/865,215
  6. Step 6: Final answer
    x = 3,991,710.42

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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.