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Finding the Third Proportional to 377,790 and 822,040

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Solution

The third proportional to 377,790 and 822,040 is: 1,788,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,790 : 822,040 = 822,040 : x
  2. Step 2: Convert to fraction form
    377,790/822,040 = 822,040/x
  3. Step 3: Cross multiply
    377,790x = 822,040 × 822,040
  4. Step 4: Simplify right side
    377,790x = 675,749,761,600
  5. Step 5: Solve for x
    x = 675,749,761,600/377,790
  6. Step 6: Final answer
    x = 1,788,691.50

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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.