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Finding the Third Proportional to 827,856 and 1,810,692

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Solution

The third proportional to 827,856 and 1,810,692 is: 3,960,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,856 : 1,810,692 = 1,810,692 : x
  2. Step 2: Convert to fraction form
    827,856/1,810,692 = 1,810,692/x
  3. Step 3: Cross multiply
    827,856x = 1,810,692 × 1,810,692
  4. Step 4: Simplify right side
    827,856x = 3,278,605,518,864
  5. Step 5: Solve for x
    x = 3,278,605,518,864/827,856
  6. Step 6: Final answer
    x = 3,960,357.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.