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Finding the Third Proportional to 938,816 and 1,412,720

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Solution

The third proportional to 938,816 and 1,412,720 is: 2,125,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,816 : 1,412,720 = 1,412,720 : x
  2. Step 2: Convert to fraction form
    938,816/1,412,720 = 1,412,720/x
  3. Step 3: Cross multiply
    938,816x = 1,412,720 × 1,412,720
  4. Step 4: Simplify right side
    938,816x = 1,995,777,798,400
  5. Step 5: Solve for x
    x = 1,995,777,798,400/938,816
  6. Step 6: Final answer
    x = 2,125,845.53

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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.