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Finding the Third Proportional to 851,462 and 1,309,137

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Solution

The third proportional to 851,462 and 1,309,137 is: 2,012,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,462 : 1,309,137 = 1,309,137 : x
  2. Step 2: Convert to fraction form
    851,462/1,309,137 = 1,309,137/x
  3. Step 3: Cross multiply
    851,462x = 1,309,137 × 1,309,137
  4. Step 4: Simplify right side
    851,462x = 1,713,839,684,769
  5. Step 5: Solve for x
    x = 1,713,839,684,769/851,462
  6. Step 6: Final answer
    x = 2,012,819.93

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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.