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Finding the Third Proportional to 473,136.19 and 1,037,872.69

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Solution

The third proportional to 473,136.19 and 1,037,872.69 is: 2,276,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,136.19 : 1,037,872.69 = 1,037,872.69 : x
  2. Step 2: Convert to fraction form
    473,136.19/1,037,872.69 = 1,037,872.69/x
  3. Step 3: Cross multiply
    473,136.19x = 1,037,872.69 × 1,037,872.69
  4. Step 4: Simplify right side
    473,136.19x = 1,077,179,715,458.47
  5. Step 5: Solve for x
    x = 1,077,179,715,458.47/473,136.19
  6. Step 6: Final answer
    x = 2,276,680.04

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