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Finding the Third Proportional to 404,877 and 886,026

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Solution

The third proportional to 404,877 and 886,026 is: 1,938,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,877 : 886,026 = 886,026 : x
  2. Step 2: Convert to fraction form
    404,877/886,026 = 886,026/x
  3. Step 3: Cross multiply
    404,877x = 886,026 × 886,026
  4. Step 4: Simplify right side
    404,877x = 785,042,072,676
  5. Step 5: Solve for x
    x = 785,042,072,676/404,877
  6. Step 6: Final answer
    x = 1,938,964.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.