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Finding the Third Proportional to 377,922 and 822,272

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Solution

The third proportional to 377,922 and 822,272 is: 1,789,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,922 : 822,272 = 822,272 : x
  2. Step 2: Convert to fraction form
    377,922/822,272 = 822,272/x
  3. Step 3: Cross multiply
    377,922x = 822,272 × 822,272
  4. Step 4: Simplify right side
    377,922x = 676,131,241,984
  5. Step 5: Solve for x
    x = 676,131,241,984/377,922
  6. Step 6: Final answer
    x = 1,789,076.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.