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Finding the Third Proportional to 1,466,208 and 2,146,824

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Solution

The third proportional to 1,466,208 and 2,146,824 is: 3,143,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,208 : 2,146,824 = 2,146,824 : x
  2. Step 2: Convert to fraction form
    1,466,208/2,146,824 = 2,146,824/x
  3. Step 3: Cross multiply
    1,466,208x = 2,146,824 × 2,146,824
  4. Step 4: Simplify right side
    1,466,208x = 4,608,853,286,976
  5. Step 5: Solve for x
    x = 4,608,853,286,976/1,466,208
  6. Step 6: Final answer
    x = 3,143,382.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.