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Finding the Third Proportional to 2,230,664 and 3,366,924

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Solution

The third proportional to 2,230,664 and 3,366,924 is: 5,081,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230,664 : 3,366,924 = 3,366,924 : x
  2. Step 2: Convert to fraction form
    2,230,664/3,366,924 = 3,366,924/x
  3. Step 3: Cross multiply
    2,230,664x = 3,366,924 × 3,366,924
  4. Step 4: Simplify right side
    2,230,664x = 11,336,177,221,776
  5. Step 5: Solve for x
    x = 11,336,177,221,776/2,230,664
  6. Step 6: Final answer
    x = 5,081,974.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.