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Finding the Third Proportional to 648,240 and 981,300

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Solution

The third proportional to 648,240 and 981,300 is: 1,485,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,240 : 981,300 = 981,300 : x
  2. Step 2: Convert to fraction form
    648,240/981,300 = 981,300/x
  3. Step 3: Cross multiply
    648,240x = 981,300 × 981,300
  4. Step 4: Simplify right side
    648,240x = 962,949,690,000
  5. Step 5: Solve for x
    x = 962,949,690,000/648,240
  6. Step 6: Final answer
    x = 1,485,483.29

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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.