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Finding the Third Proportional to 2,889,216 and 6,222,432

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Solution

The third proportional to 2,889,216 and 6,222,432 is: 13,401,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889,216 : 6,222,432 = 6,222,432 : x
  2. Step 2: Convert to fraction form
    2,889,216/6,222,432 = 6,222,432/x
  3. Step 3: Cross multiply
    2,889,216x = 6,222,432 × 6,222,432
  4. Step 4: Simplify right side
    2,889,216x = 38,718,659,994,624
  5. Step 5: Solve for x
    x = 38,718,659,994,624/2,889,216
  6. Step 6: Final answer
    x = 13,401,095.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.