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Finding the Third Proportional to 648,972 and 969,975

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Solution

The third proportional to 648,972 and 969,975 is: 1,449,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,972 : 969,975 = 969,975 : x
  2. Step 2: Convert to fraction form
    648,972/969,975 = 969,975/x
  3. Step 3: Cross multiply
    648,972x = 969,975 × 969,975
  4. Step 4: Simplify right side
    648,972x = 940,851,500,625
  5. Step 5: Solve for x
    x = 940,851,500,625/648,972
  6. Step 6: Final answer
    x = 1,449,756.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.