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Finding the Third Proportional to 608,865 and 978,344

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Solution

The third proportional to 608,865 and 978,344 is: 1,572,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,865 : 978,344 = 978,344 : x
  2. Step 2: Convert to fraction form
    608,865/978,344 = 978,344/x
  3. Step 3: Cross multiply
    608,865x = 978,344 × 978,344
  4. Step 4: Simplify right side
    608,865x = 957,156,982,336
  5. Step 5: Solve for x
    x = 957,156,982,336/608,865
  6. Step 6: Final answer
    x = 1,572,034.82

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.