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Finding the Third Proportional to 401,126 and 880,974

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Solution

The third proportional to 401,126 and 880,974 is: 1,934,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,126 : 880,974 = 880,974 : x
  2. Step 2: Convert to fraction form
    401,126/880,974 = 880,974/x
  3. Step 3: Cross multiply
    401,126x = 880,974 × 880,974
  4. Step 4: Simplify right side
    401,126x = 776,115,188,676
  5. Step 5: Solve for x
    x = 776,115,188,676/401,126
  6. Step 6: Final answer
    x = 1,934,841.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.