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Finding the Third Proportional to 378,965 and 822,243

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Solution

The third proportional to 378,965 and 822,243 is: 1,784,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,965 : 822,243 = 822,243 : x
  2. Step 2: Convert to fraction form
    378,965/822,243 = 822,243/x
  3. Step 3: Cross multiply
    378,965x = 822,243 × 822,243
  4. Step 4: Simplify right side
    378,965x = 676,083,551,049
  5. Step 5: Solve for x
    x = 676,083,551,049/378,965
  6. Step 6: Final answer
    x = 1,784,026.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.