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Finding the Third Proportional to 2,821,974 and 6,183,078

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Solution

The third proportional to 2,821,974 and 6,183,078 is: 13,547,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821,974 : 6,183,078 = 6,183,078 : x
  2. Step 2: Convert to fraction form
    2,821,974/6,183,078 = 6,183,078/x
  3. Step 3: Cross multiply
    2,821,974x = 6,183,078 × 6,183,078
  4. Step 4: Simplify right side
    2,821,974x = 38,230,453,554,084
  5. Step 5: Solve for x
    x = 38,230,453,554,084/2,821,974
  6. Step 6: Final answer
    x = 13,547,415.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.