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Finding the Third Proportional to 983,199 and 2,103,025

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Solution

The third proportional to 983,199 and 2,103,025 is: 4,498,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,199 : 2,103,025 = 2,103,025 : x
  2. Step 2: Convert to fraction form
    983,199/2,103,025 = 2,103,025/x
  3. Step 3: Cross multiply
    983,199x = 2,103,025 × 2,103,025
  4. Step 4: Simplify right side
    983,199x = 4,422,714,150,625
  5. Step 5: Solve for x
    x = 4,422,714,150,625/983,199
  6. Step 6: Final answer
    x = 4,498,289.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.