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Finding the Third Proportional to 422,843.63 and 887,206.13

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Solution

The third proportional to 422,843.63 and 887,206.13 is: 1,861,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,843.63 : 887,206.13 = 887,206.13 : x
  2. Step 2: Convert to fraction form
    422,843.63/887,206.13 = 887,206.13/x
  3. Step 3: Cross multiply
    422,843.63x = 887,206.13 × 887,206.13
  4. Step 4: Simplify right side
    422,843.63x = 787,134,708,237.52
  5. Step 5: Solve for x
    x = 787,134,708,237.52/422,843.63
  6. Step 6: Final answer
    x = 1,861,526.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.