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Finding the Third Proportional to 416,626 and 997,550

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Solution

The third proportional to 416,626 and 997,550 is: 2,388,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,626 : 997,550 = 997,550 : x
  2. Step 2: Convert to fraction form
    416,626/997,550 = 997,550/x
  3. Step 3: Cross multiply
    416,626x = 997,550 × 997,550
  4. Step 4: Simplify right side
    416,626x = 995,106,002,500
  5. Step 5: Solve for x
    x = 995,106,002,500/416,626
  6. Step 6: Final answer
    x = 2,388,487.52

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.