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Finding the Third Proportional to 2,846,457 and 6,198,317

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Solution

The third proportional to 2,846,457 and 6,198,317 is: 13,497,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,457 : 6,198,317 = 6,198,317 : x
  2. Step 2: Convert to fraction form
    2,846,457/6,198,317 = 6,198,317/x
  3. Step 3: Cross multiply
    2,846,457x = 6,198,317 × 6,198,317
  4. Step 4: Simplify right side
    2,846,457x = 38,419,133,632,489
  5. Step 5: Solve for x
    x = 38,419,133,632,489/2,846,457
  6. Step 6: Final answer
    x = 13,497,176.89

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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.