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Finding the Third Proportional to 851,447 and 1,309,124

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Solution

The third proportional to 851,447 and 1,309,124 is: 2,012,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,447 : 1,309,124 = 1,309,124 : x
  2. Step 2: Convert to fraction form
    851,447/1,309,124 = 1,309,124/x
  3. Step 3: Cross multiply
    851,447x = 1,309,124 × 1,309,124
  4. Step 4: Simplify right side
    851,447x = 1,713,805,647,376
  5. Step 5: Solve for x
    x = 1,713,805,647,376/851,447
  6. Step 6: Final answer
    x = 2,012,815.42

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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.