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Finding the Third Proportional to 2,908,299 and 6,189,846

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Solution

The third proportional to 2,908,299 and 6,189,846 is: 13,174,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908,299 : 6,189,846 = 6,189,846 : x
  2. Step 2: Convert to fraction form
    2,908,299/6,189,846 = 6,189,846/x
  3. Step 3: Cross multiply
    2,908,299x = 6,189,846 × 6,189,846
  4. Step 4: Simplify right side
    2,908,299x = 38,314,193,503,716
  5. Step 5: Solve for x
    x = 38,314,193,503,716/2,908,299
  6. Step 6: Final answer
    x = 13,174,090.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.