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Finding the Third Proportional to 377,792 and 822,044

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Solution

The third proportional to 377,792 and 822,044 is: 1,788,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,792 : 822,044 = 822,044 : x
  2. Step 2: Convert to fraction form
    377,792/822,044 = 822,044/x
  3. Step 3: Cross multiply
    377,792x = 822,044 × 822,044
  4. Step 4: Simplify right side
    377,792x = 675,756,337,936
  5. Step 5: Solve for x
    x = 675,756,337,936/377,792
  6. Step 6: Final answer
    x = 1,788,699.44

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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.