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Finding the Third Proportional to 827,154 and 1,821,922

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Solution

The third proportional to 827,154 and 1,821,922 is: 4,013,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,154 : 1,821,922 = 1,821,922 : x
  2. Step 2: Convert to fraction form
    827,154/1,821,922 = 1,821,922/x
  3. Step 3: Cross multiply
    827,154x = 1,821,922 × 1,821,922
  4. Step 4: Simplify right side
    827,154x = 3,319,399,774,084
  5. Step 5: Solve for x
    x = 3,319,399,774,084/827,154
  6. Step 6: Final answer
    x = 4,013,037.20

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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.