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Finding the Third Proportional to 656,100 and 984,150

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Solution

The third proportional to 656,100 and 984,150 is: 1,476,225

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,100 : 984,150 = 984,150 : x
  2. Step 2: Convert to fraction form
    656,100/984,150 = 984,150/x
  3. Step 3: Cross multiply
    656,100x = 984,150 × 984,150
  4. Step 4: Simplify right side
    656,100x = 968,551,222,500
  5. Step 5: Solve for x
    x = 968,551,222,500/656,100
  6. Step 6: Final answer
    x = 1,476,225

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.