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Finding the Third Proportional to 468,358 and 1,105,256

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Solution

The third proportional to 468,358 and 1,105,256 is: 2,608,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,358 : 1,105,256 = 1,105,256 : x
  2. Step 2: Convert to fraction form
    468,358/1,105,256 = 1,105,256/x
  3. Step 3: Cross multiply
    468,358x = 1,105,256 × 1,105,256
  4. Step 4: Simplify right side
    468,358x = 1,221,590,825,536
  5. Step 5: Solve for x
    x = 1,221,590,825,536/468,358
  6. Step 6: Final answer
    x = 2,608,241.61

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