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Finding the Third Proportional to 674,096.63 and 1,431,299.25

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Solution

The third proportional to 674,096.63 and 1,431,299.25 is: 3,039,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,096.63 : 1,431,299.25 = 1,431,299.25 : x
  2. Step 2: Convert to fraction form
    674,096.63/1,431,299.25 = 1,431,299.25/x
  3. Step 3: Cross multiply
    674,096.63x = 1,431,299.25 × 1,431,299.25
  4. Step 4: Simplify right side
    674,096.63x = 2,048,617,543,050.56
  5. Step 5: Solve for x
    x = 2,048,617,543,050.56/674,096.63
  6. Step 6: Final answer
    x = 3,039,056.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.