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Finding the Third Proportional to 821,466 and 1,797,529.50

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Solution

The third proportional to 821,466 and 1,797,529.50 is: 3,933,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,466 : 1,797,529.50 = 1,797,529.50 : x
  2. Step 2: Convert to fraction form
    821,466/1,797,529.50 = 1,797,529.50/x
  3. Step 3: Cross multiply
    821,466x = 1,797,529.50 × 1,797,529.50
  4. Step 4: Simplify right side
    821,466x = 3,231,112,303,370.25
  5. Step 5: Solve for x
    x = 3,231,112,303,370.25/821,466
  6. Step 6: Final answer
    x = 3,933,348.80

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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.