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Finding the Third Proportional to 734,802 and 1,040,031

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Solution

The third proportional to 734,802 and 1,040,031 is: 1,472,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,802 : 1,040,031 = 1,040,031 : x
  2. Step 2: Convert to fraction form
    734,802/1,040,031 = 1,040,031/x
  3. Step 3: Cross multiply
    734,802x = 1,040,031 × 1,040,031
  4. Step 4: Simplify right side
    734,802x = 1,081,664,480,961
  5. Step 5: Solve for x
    x = 1,081,664,480,961/734,802
  6. Step 6: Final answer
    x = 1,472,048.91

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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.