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Finding the Third Proportional to 843,576 and 1,822,044

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Solution

The third proportional to 843,576 and 1,822,044 is: 3,935,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,576 : 1,822,044 = 1,822,044 : x
  2. Step 2: Convert to fraction form
    843,576/1,822,044 = 1,822,044/x
  3. Step 3: Cross multiply
    843,576x = 1,822,044 × 1,822,044
  4. Step 4: Simplify right side
    843,576x = 3,319,844,337,936
  5. Step 5: Solve for x
    x = 3,319,844,337,936/843,576
  6. Step 6: Final answer
    x = 3,935,441.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.