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Finding the Third Proportional to 468,049 and 1,006,116

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Solution

The third proportional to 468,049 and 1,006,116 is: 2,162,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,049 : 1,006,116 = 1,006,116 : x
  2. Step 2: Convert to fraction form
    468,049/1,006,116 = 1,006,116/x
  3. Step 3: Cross multiply
    468,049x = 1,006,116 × 1,006,116
  4. Step 4: Simplify right side
    468,049x = 1,012,269,405,456
  5. Step 5: Solve for x
    x = 1,012,269,405,456/468,049
  6. Step 6: Final answer
    x = 2,162,742.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.