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Finding the Third Proportional to 382,745 and 823,986

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Solution

The third proportional to 382,745 and 823,986 is: 1,773,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,745 : 823,986 = 823,986 : x
  2. Step 2: Convert to fraction form
    382,745/823,986 = 823,986/x
  3. Step 3: Cross multiply
    382,745x = 823,986 × 823,986
  4. Step 4: Simplify right side
    382,745x = 678,952,928,196
  5. Step 5: Solve for x
    x = 678,952,928,196/382,745
  6. Step 6: Final answer
    x = 1,773,904.11

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Why These Related Problems?

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