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Finding the Third Proportional to 608,864 and 1,314,254

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Solution

The third proportional to 608,864 and 1,314,254 is: 2,836,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,864 : 1,314,254 = 1,314,254 : x
  2. Step 2: Convert to fraction form
    608,864/1,314,254 = 1,314,254/x
  3. Step 3: Cross multiply
    608,864x = 1,314,254 × 1,314,254
  4. Step 4: Simplify right side
    608,864x = 1,727,263,576,516
  5. Step 5: Solve for x
    x = 1,727,263,576,516/608,864
  6. Step 6: Final answer
    x = 2,836,862.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.