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Finding the Third Proportional to 851,711 and 1,309,141

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Solution

The third proportional to 851,711 and 1,309,141 is: 2,012,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,711 : 1,309,141 = 1,309,141 : x
  2. Step 2: Convert to fraction form
    851,711/1,309,141 = 1,309,141/x
  3. Step 3: Cross multiply
    851,711x = 1,309,141 × 1,309,141
  4. Step 4: Simplify right side
    851,711x = 1,713,850,157,881
  5. Step 5: Solve for x
    x = 1,713,850,157,881/851,711
  6. Step 6: Final answer
    x = 2,012,243.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.