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Finding the Third Proportional to 472,665.38 and 1,037,169.56

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Solution

The third proportional to 472,665.38 and 1,037,169.56 is: 2,275,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,665.38 : 1,037,169.56 = 1,037,169.56 : x
  2. Step 2: Convert to fraction form
    472,665.38/1,037,169.56 = 1,037,169.56/x
  3. Step 3: Cross multiply
    472,665.38x = 1,037,169.56 × 1,037,169.56
  4. Step 4: Simplify right side
    472,665.38x = 1,075,720,701,376.44
  5. Step 5: Solve for x
    x = 1,075,720,701,376.44/472,665.38
  6. Step 6: Final answer
    x = 2,275,861.02

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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.