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Finding the Third Proportional to 2,697,480 and 5,889,224

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Solution

The third proportional to 2,697,480 and 5,889,224 is: 12,857,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,480 : 5,889,224 = 5,889,224 : x
  2. Step 2: Convert to fraction form
    2,697,480/5,889,224 = 5,889,224/x
  3. Step 3: Cross multiply
    2,697,480x = 5,889,224 × 5,889,224
  4. Step 4: Simplify right side
    2,697,480x = 34,682,959,322,176
  5. Step 5: Solve for x
    x = 34,682,959,322,176/2,697,480
  6. Step 6: Final answer
    x = 12,857,540.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.