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Finding the Third Proportional to 648,210 and 981,258.75

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Solution

The third proportional to 648,210 and 981,258.75 is: 1,485,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,210 : 981,258.75 = 981,258.75 : x
  2. Step 2: Convert to fraction form
    648,210/981,258.75 = 981,258.75/x
  3. Step 3: Cross multiply
    648,210x = 981,258.75 × 981,258.75
  4. Step 4: Simplify right side
    648,210x = 962,868,734,451.56
  5. Step 5: Solve for x
    x = 962,868,734,451.56/648,210
  6. Step 6: Final answer
    x = 1,485,427.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.