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Finding the Third Proportional to 734,898 and 1,040,163

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Solution

The third proportional to 734,898 and 1,040,163 is: 1,472,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,898 : 1,040,163 = 1,040,163 : x
  2. Step 2: Convert to fraction form
    734,898/1,040,163 = 1,040,163/x
  3. Step 3: Cross multiply
    734,898x = 1,040,163 × 1,040,163
  4. Step 4: Simplify right side
    734,898x = 1,081,939,066,569
  5. Step 5: Solve for x
    x = 1,081,939,066,569/734,898
  6. Step 6: Final answer
    x = 1,472,230.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.