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Finding the Third Proportional to 382,864 and 841,787

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Solution

The third proportional to 382,864 and 841,787 is: 1,850,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,864 : 841,787 = 841,787 : x
  2. Step 2: Convert to fraction form
    382,864/841,787 = 841,787/x
  3. Step 3: Cross multiply
    382,864x = 841,787 × 841,787
  4. Step 4: Simplify right side
    382,864x = 708,605,353,369
  5. Step 5: Solve for x
    x = 708,605,353,369/382,864
  6. Step 6: Final answer
    x = 1,850,801.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.