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Finding the Third Proportional to 671,822 and 1,474,702

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Solution

The third proportional to 671,822 and 1,474,702 is: 3,237,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,822 : 1,474,702 = 1,474,702 : x
  2. Step 2: Convert to fraction form
    671,822/1,474,702 = 1,474,702/x
  3. Step 3: Cross multiply
    671,822x = 1,474,702 × 1,474,702
  4. Step 4: Simplify right side
    671,822x = 2,174,745,988,804
  5. Step 5: Solve for x
    x = 2,174,745,988,804/671,822
  6. Step 6: Final answer
    x = 3,237,086.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.