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Finding the Third Proportional to 1,823,976 and 2,725,752

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Solution

The third proportional to 1,823,976 and 2,725,752 is: 4,073,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,976 : 2,725,752 = 2,725,752 : x
  2. Step 2: Convert to fraction form
    1,823,976/2,725,752 = 2,725,752/x
  3. Step 3: Cross multiply
    1,823,976x = 2,725,752 × 2,725,752
  4. Step 4: Simplify right side
    1,823,976x = 7,429,723,965,504
  5. Step 5: Solve for x
    x = 7,429,723,965,504/1,823,976
  6. Step 6: Final answer
    x = 4,073,367.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.