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Finding the Third Proportional to 2,096,448 and 4,491,878

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Solution

The third proportional to 2,096,448 and 4,491,878 is: 9,624,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,448 : 4,491,878 = 4,491,878 : x
  2. Step 2: Convert to fraction form
    2,096,448/4,491,878 = 4,491,878/x
  3. Step 3: Cross multiply
    2,096,448x = 4,491,878 × 4,491,878
  4. Step 4: Simplify right side
    2,096,448x = 20,176,967,966,884
  5. Step 5: Solve for x
    x = 20,176,967,966,884/2,096,448
  6. Step 6: Final answer
    x = 9,624,358.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.