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Finding the Third Proportional to 746,822 and 1,134,041

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Solution

The third proportional to 746,822 and 1,134,041 is: 1,722,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,822 : 1,134,041 = 1,134,041 : x
  2. Step 2: Convert to fraction form
    746,822/1,134,041 = 1,134,041/x
  3. Step 3: Cross multiply
    746,822x = 1,134,041 × 1,134,041
  4. Step 4: Simplify right side
    746,822x = 1,286,048,989,681
  5. Step 5: Solve for x
    x = 1,286,048,989,681/746,822
  6. Step 6: Final answer
    x = 1,722,028.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.