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Finding the Third Proportional to 606,717 and 898,138

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Solution

The third proportional to 606,717 and 898,138 is: 1,329,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,717 : 898,138 = 898,138 : x
  2. Step 2: Convert to fraction form
    606,717/898,138 = 898,138/x
  3. Step 3: Cross multiply
    606,717x = 898,138 × 898,138
  4. Step 4: Simplify right side
    606,717x = 806,651,867,044
  5. Step 5: Solve for x
    x = 806,651,867,044/606,717
  6. Step 6: Final answer
    x = 1,329,535.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.