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Finding the Third Proportional to 467,232 and 981,120

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Solution

The third proportional to 467,232 and 981,120 is: 2,060,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,232 : 981,120 = 981,120 : x
  2. Step 2: Convert to fraction form
    467,232/981,120 = 981,120/x
  3. Step 3: Cross multiply
    467,232x = 981,120 × 981,120
  4. Step 4: Simplify right side
    467,232x = 962,596,454,400
  5. Step 5: Solve for x
    x = 962,596,454,400/467,232
  6. Step 6: Final answer
    x = 2,060,210.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.