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Finding the Third Proportional to 805,760 and 1,257,680

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Solution

The third proportional to 805,760 and 1,257,680 is: 1,963,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,760 : 1,257,680 = 1,257,680 : x
  2. Step 2: Convert to fraction form
    805,760/1,257,680 = 1,257,680/x
  3. Step 3: Cross multiply
    805,760x = 1,257,680 × 1,257,680
  4. Step 4: Simplify right side
    805,760x = 1,581,758,982,400
  5. Step 5: Solve for x
    x = 1,581,758,982,400/805,760
  6. Step 6: Final answer
    x = 1,963,064.66

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.