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Finding the Third Proportional to 463,424 and 1,082,702

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Solution

The third proportional to 463,424 and 1,082,702 is: 2,529,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,424 : 1,082,702 = 1,082,702 : x
  2. Step 2: Convert to fraction form
    463,424/1,082,702 = 1,082,702/x
  3. Step 3: Cross multiply
    463,424x = 1,082,702 × 1,082,702
  4. Step 4: Simplify right side
    463,424x = 1,172,243,620,804
  5. Step 5: Solve for x
    x = 1,172,243,620,804/463,424
  6. Step 6: Final answer
    x = 2,529,527.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.