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Finding the Third Proportional to 1,348,844 and 2,944,806

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Solution

The third proportional to 1,348,844 and 2,944,806 is: 6,429,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,844 : 2,944,806 = 2,944,806 : x
  2. Step 2: Convert to fraction form
    1,348,844/2,944,806 = 2,944,806/x
  3. Step 3: Cross multiply
    1,348,844x = 2,944,806 × 2,944,806
  4. Step 4: Simplify right side
    1,348,844x = 8,671,882,377,636
  5. Step 5: Solve for x
    x = 8,671,882,377,636/1,348,844
  6. Step 6: Final answer
    x = 6,429,121.81

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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.