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Finding the Third Proportional to 381,798 and 822,604.25

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Solution

The third proportional to 381,798 and 822,604.25 is: 1,772,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,798 : 822,604.25 = 822,604.25 : x
  2. Step 2: Convert to fraction form
    381,798/822,604.25 = 822,604.25/x
  3. Step 3: Cross multiply
    381,798x = 822,604.25 × 822,604.25
  4. Step 4: Simplify right side
    381,798x = 676,677,752,118.06
  5. Step 5: Solve for x
    x = 676,677,752,118.06/381,798
  6. Step 6: Final answer
    x = 1,772,344.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.