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Finding the Third Proportional to 2,409,816 and 5,019,216

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Solution

The third proportional to 2,409,816 and 5,019,216 is: 10,454,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,816 : 5,019,216 = 5,019,216 : x
  2. Step 2: Convert to fraction form
    2,409,816/5,019,216 = 5,019,216/x
  3. Step 3: Cross multiply
    2,409,816x = 5,019,216 × 5,019,216
  4. Step 4: Simplify right side
    2,409,816x = 25,192,529,254,656
  5. Step 5: Solve for x
    x = 25,192,529,254,656/2,409,816
  6. Step 6: Final answer
    x = 10,454,129.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.