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Finding the Third Proportional to 4,259,898 and 6,434,199

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Solution

The third proportional to 4,259,898 and 6,434,199 is: 9,718,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259,898 : 6,434,199 = 6,434,199 : x
  2. Step 2: Convert to fraction form
    4,259,898/6,434,199 = 6,434,199/x
  3. Step 3: Cross multiply
    4,259,898x = 6,434,199 × 6,434,199
  4. Step 4: Simplify right side
    4,259,898x = 41,398,916,771,601
  5. Step 5: Solve for x
    x = 41,398,916,771,601/4,259,898
  6. Step 6: Final answer
    x = 9,718,288.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.