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Finding the Third Proportional to 2,286,627.47 and 3,366,767.53

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Solution

The third proportional to 2,286,627.47 and 3,366,767.53 is: 4,957,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,627.47 : 3,366,767.53 = 3,366,767.53 : x
  2. Step 2: Convert to fraction form
    2,286,627.47/3,366,767.53 = 3,366,767.53/x
  3. Step 3: Cross multiply
    2,286,627.47x = 3,366,767.53 × 3,366,767.53
  4. Step 4: Simplify right side
    2,286,627.47x = 11,335,123,609,479.22
  5. Step 5: Solve for x
    x = 11,335,123,609,479.22/2,286,627.47
  6. Step 6: Final answer
    x = 4,957,136.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.