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Finding the Third Proportional to 2,096,716.41 and 4,585,998.47

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Solution

The third proportional to 2,096,716.41 and 4,585,998.47 is: 10,030,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,716.41 : 4,585,998.47 = 4,585,998.47 : x
  2. Step 2: Convert to fraction form
    2,096,716.41/4,585,998.47 = 4,585,998.47/x
  3. Step 3: Cross multiply
    2,096,716.41x = 4,585,998.47 × 4,585,998.47
  4. Step 4: Simplify right side
    2,096,716.41x = 21,031,381,955,377.34
  5. Step 5: Solve for x
    x = 21,031,381,955,377.34/2,096,716.41
  6. Step 6: Final answer
    x = 10,030,627.84

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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.