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Finding the Third Proportional to 451,880 and 978,154

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Solution

The third proportional to 451,880 and 978,154 is: 2,117,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,880 : 978,154 = 978,154 : x
  2. Step 2: Convert to fraction form
    451,880/978,154 = 978,154/x
  3. Step 3: Cross multiply
    451,880x = 978,154 × 978,154
  4. Step 4: Simplify right side
    451,880x = 956,785,247,716
  5. Step 5: Solve for x
    x = 956,785,247,716/451,880
  6. Step 6: Final answer
    x = 2,117,343.65

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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.