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Finding the Third Proportional to 674,112 and 1,474,896

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Solution

The third proportional to 674,112 and 1,474,896 is: 3,226,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,112 : 1,474,896 = 1,474,896 : x
  2. Step 2: Convert to fraction form
    674,112/1,474,896 = 1,474,896/x
  3. Step 3: Cross multiply
    674,112x = 1,474,896 × 1,474,896
  4. Step 4: Simplify right side
    674,112x = 2,175,318,210,816
  5. Step 5: Solve for x
    x = 2,175,318,210,816/674,112
  6. Step 6: Final answer
    x = 3,226,938.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.