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Finding the Third Proportional to 648,216 and 981,270

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Solution

The third proportional to 648,216 and 981,270 is: 1,485,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,216 : 981,270 = 981,270 : x
  2. Step 2: Convert to fraction form
    648,216/981,270 = 981,270/x
  3. Step 3: Cross multiply
    648,216x = 981,270 × 981,270
  4. Step 4: Simplify right side
    648,216x = 962,890,812,900
  5. Step 5: Solve for x
    x = 962,890,812,900/648,216
  6. Step 6: Final answer
    x = 1,485,447.46

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Why These Related Problems?

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