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Finding the Third Proportional to 2,690,144 and 5,805,258

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Solution

The third proportional to 2,690,144 and 5,805,258 is: 12,527,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690,144 : 5,805,258 = 5,805,258 : x
  2. Step 2: Convert to fraction form
    2,690,144/5,805,258 = 5,805,258/x
  3. Step 3: Cross multiply
    2,690,144x = 5,805,258 × 5,805,258
  4. Step 4: Simplify right side
    2,690,144x = 33,701,020,446,564
  5. Step 5: Solve for x
    x = 33,701,020,446,564/2,690,144
  6. Step 6: Final answer
    x = 12,527,589.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.