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Finding the Third Proportional to 468,302 and 1,105,116

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Solution

The third proportional to 468,302 and 1,105,116 is: 2,607,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,302 : 1,105,116 = 1,105,116 : x
  2. Step 2: Convert to fraction form
    468,302/1,105,116 = 1,105,116/x
  3. Step 3: Cross multiply
    468,302x = 1,105,116 × 1,105,116
  4. Step 4: Simplify right side
    468,302x = 1,221,281,373,456
  5. Step 5: Solve for x
    x = 1,221,281,373,456/468,302
  6. Step 6: Final answer
    x = 2,607,892.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.