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Finding the Third Proportional to 417,162 and 910,800

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Solution

The third proportional to 417,162 and 910,800 is: 1,988,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,162 : 910,800 = 910,800 : x
  2. Step 2: Convert to fraction form
    417,162/910,800 = 910,800/x
  3. Step 3: Cross multiply
    417,162x = 910,800 × 910,800
  4. Step 4: Simplify right side
    417,162x = 829,556,640,000
  5. Step 5: Solve for x
    x = 829,556,640,000/417,162
  6. Step 6: Final answer
    x = 1,988,571.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.