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Finding the Third Proportional to 387,922 and 822,024

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Solution

The third proportional to 387,922 and 822,024 is: 1,741,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,922 : 822,024 = 822,024 : x
  2. Step 2: Convert to fraction form
    387,922/822,024 = 822,024/x
  3. Step 3: Cross multiply
    387,922x = 822,024 × 822,024
  4. Step 4: Simplify right side
    387,922x = 675,723,456,576
  5. Step 5: Solve for x
    x = 675,723,456,576/387,922
  6. Step 6: Final answer
    x = 1,741,905.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.