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Finding the Third Proportional to 2,410,284 and 5,020,320

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Solution

The third proportional to 2,410,284 and 5,020,320 is: 10,456,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410,284 : 5,020,320 = 5,020,320 : x
  2. Step 2: Convert to fraction form
    2,410,284/5,020,320 = 5,020,320/x
  3. Step 3: Cross multiply
    2,410,284x = 5,020,320 × 5,020,320
  4. Step 4: Simplify right side
    2,410,284x = 25,203,612,902,400
  5. Step 5: Solve for x
    x = 25,203,612,902,400/2,410,284
  6. Step 6: Final answer
    x = 10,456,698.42

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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.