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Finding the Third Proportional to 429,015.75 and 940,453.88

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Solution

The third proportional to 429,015.75 and 940,453.88 is: 2,061,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,015.75 : 940,453.88 = 940,453.88 : x
  2. Step 2: Convert to fraction form
    429,015.75/940,453.88 = 940,453.88/x
  3. Step 3: Cross multiply
    429,015.75x = 940,453.88 × 940,453.88
  4. Step 4: Simplify right side
    429,015.75x = 884,453,491,002.52
  5. Step 5: Solve for x
    x = 884,453,491,002.52/429,015.75
  6. Step 6: Final answer
    x = 2,061,587.46

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