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Finding the Third Proportional to 381,386 and 822,748

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Solution

The third proportional to 381,386 and 822,748 is: 1,774,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,386 : 822,748 = 822,748 : x
  2. Step 2: Convert to fraction form
    381,386/822,748 = 822,748/x
  3. Step 3: Cross multiply
    381,386x = 822,748 × 822,748
  4. Step 4: Simplify right side
    381,386x = 676,914,271,504
  5. Step 5: Solve for x
    x = 676,914,271,504/381,386
  6. Step 6: Final answer
    x = 1,774,879.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.