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Finding the Third Proportional to 373,891 and 822,545

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Solution

The third proportional to 373,891 and 822,545 is: 1,809,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,891 : 822,545 = 822,545 : x
  2. Step 2: Convert to fraction form
    373,891/822,545 = 822,545/x
  3. Step 3: Cross multiply
    373,891x = 822,545 × 822,545
  4. Step 4: Simplify right side
    373,891x = 676,580,277,025
  5. Step 5: Solve for x
    x = 676,580,277,025/373,891
  6. Step 6: Final answer
    x = 1,809,565.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.