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Finding the Third Proportional to 733,850 and 1,498,804

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Solution

The third proportional to 733,850 and 1,498,804 is: 3,061,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,850 : 1,498,804 = 1,498,804 : x
  2. Step 2: Convert to fraction form
    733,850/1,498,804 = 1,498,804/x
  3. Step 3: Cross multiply
    733,850x = 1,498,804 × 1,498,804
  4. Step 4: Simplify right side
    733,850x = 2,246,413,430,416
  5. Step 5: Solve for x
    x = 2,246,413,430,416/733,850
  6. Step 6: Final answer
    x = 3,061,134.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.