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Finding the Third Proportional to 978,096 and 2,142,816

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Solution

The third proportional to 978,096 and 2,142,816 is: 4,694,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,096 : 2,142,816 = 2,142,816 : x
  2. Step 2: Convert to fraction form
    978,096/2,142,816 = 2,142,816/x
  3. Step 3: Cross multiply
    978,096x = 2,142,816 × 2,142,816
  4. Step 4: Simplify right side
    978,096x = 4,591,660,409,856
  5. Step 5: Solve for x
    x = 4,591,660,409,856/978,096
  6. Step 6: Final answer
    x = 4,694,488.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.