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Finding the Third Proportional to 2,096,716.78 and 4,585,999.22

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Solution

The third proportional to 2,096,716.78 and 4,585,999.22 is: 10,030,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,716.78 : 4,585,999.22 = 4,585,999.22 : x
  2. Step 2: Convert to fraction form
    2,096,716.78/4,585,999.22 = 4,585,999.22/x
  3. Step 3: Cross multiply
    2,096,716.78x = 4,585,999.22 × 4,585,999.22
  4. Step 4: Simplify right side
    2,096,716.78x = 21,031,388,834,375.61
  5. Step 5: Solve for x
    x = 21,031,388,834,375.61/2,096,716.78
  6. Step 6: Final answer
    x = 10,030,629.33

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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.