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Finding the Third Proportional to 723,400 and 1,065,112

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Solution

The third proportional to 723,400 and 1,065,112 is: 1,568,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,400 : 1,065,112 = 1,065,112 : x
  2. Step 2: Convert to fraction form
    723,400/1,065,112 = 1,065,112/x
  3. Step 3: Cross multiply
    723,400x = 1,065,112 × 1,065,112
  4. Step 4: Simplify right side
    723,400x = 1,134,463,572,544
  5. Step 5: Solve for x
    x = 1,134,463,572,544/723,400
  6. Step 6: Final answer
    x = 1,568,238.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.