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Finding the Third Proportional to 2,057,154 and 4,493,751

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Solution

The third proportional to 2,057,154 and 4,493,751 is: 9,816,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,154 : 4,493,751 = 4,493,751 : x
  2. Step 2: Convert to fraction form
    2,057,154/4,493,751 = 4,493,751/x
  3. Step 3: Cross multiply
    2,057,154x = 4,493,751 × 4,493,751
  4. Step 4: Simplify right side
    2,057,154x = 20,193,798,050,001
  5. Step 5: Solve for x
    x = 20,193,798,050,001/2,057,154
  6. Step 6: Final answer
    x = 9,816,376.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.