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Finding the Third Proportional to 864,403 and 1,268,578

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Solution

The third proportional to 864,403 and 1,268,578 is: 1,861,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,403 : 1,268,578 = 1,268,578 : x
  2. Step 2: Convert to fraction form
    864,403/1,268,578 = 1,268,578/x
  3. Step 3: Cross multiply
    864,403x = 1,268,578 × 1,268,578
  4. Step 4: Simplify right side
    864,403x = 1,609,290,142,084
  5. Step 5: Solve for x
    x = 1,609,290,142,084/864,403
  6. Step 6: Final answer
    x = 1,861,735.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.