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Finding the Third Proportional to 373,860 and 825,048

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Solution

The third proportional to 373,860 and 825,048 is: 1,820,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,860 : 825,048 = 825,048 : x
  2. Step 2: Convert to fraction form
    373,860/825,048 = 825,048/x
  3. Step 3: Cross multiply
    373,860x = 825,048 × 825,048
  4. Step 4: Simplify right side
    373,860x = 680,704,202,304
  5. Step 5: Solve for x
    x = 680,704,202,304/373,860
  6. Step 6: Final answer
    x = 1,820,746.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.