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Finding the Third Proportional to 2,096,794 and 4,586,148

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Solution

The third proportional to 2,096,794 and 4,586,148 is: 10,030,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,794 : 4,586,148 = 4,586,148 : x
  2. Step 2: Convert to fraction form
    2,096,794/4,586,148 = 4,586,148/x
  3. Step 3: Cross multiply
    2,096,794x = 4,586,148 × 4,586,148
  4. Step 4: Simplify right side
    2,096,794x = 21,032,753,477,904
  5. Step 5: Solve for x
    x = 21,032,753,477,904/2,096,794
  6. Step 6: Final answer
    x = 10,030,910.75

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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.