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Finding the Third Proportional to 733,810 and 1,498,724

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Solution

The third proportional to 733,810 and 1,498,724 is: 3,060,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,810 : 1,498,724 = 1,498,724 : x
  2. Step 2: Convert to fraction form
    733,810/1,498,724 = 1,498,724/x
  3. Step 3: Cross multiply
    733,810x = 1,498,724 × 1,498,724
  4. Step 4: Simplify right side
    733,810x = 2,246,173,628,176
  5. Step 5: Solve for x
    x = 2,246,173,628,176/733,810
  6. Step 6: Final answer
    x = 3,060,974.41

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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.