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Finding the Third Proportional to 726,714 and 1,040,247

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Solution

The third proportional to 726,714 and 1,040,247 is: 1,489,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,714 : 1,040,247 = 1,040,247 : x
  2. Step 2: Convert to fraction form
    726,714/1,040,247 = 1,040,247/x
  3. Step 3: Cross multiply
    726,714x = 1,040,247 × 1,040,247
  4. Step 4: Simplify right side
    726,714x = 1,082,113,821,009
  5. Step 5: Solve for x
    x = 1,082,113,821,009/726,714
  6. Step 6: Final answer
    x = 1,489,050.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.