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Finding the Third Proportional to 800,024 and 1,168,448

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Solution

The third proportional to 800,024 and 1,168,448 is: 1,706,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,024 : 1,168,448 = 1,168,448 : x
  2. Step 2: Convert to fraction form
    800,024/1,168,448 = 1,168,448/x
  3. Step 3: Cross multiply
    800,024x = 1,168,448 × 1,168,448
  4. Step 4: Simplify right side
    800,024x = 1,365,270,728,704
  5. Step 5: Solve for x
    x = 1,365,270,728,704/800,024
  6. Step 6: Final answer
    x = 1,706,537.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.