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Finding the Third Proportional to 641,198 and 1,410,376

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Solution

The third proportional to 641,198 and 1,410,376 is: 3,102,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,198 : 1,410,376 = 1,410,376 : x
  2. Step 2: Convert to fraction form
    641,198/1,410,376 = 1,410,376/x
  3. Step 3: Cross multiply
    641,198x = 1,410,376 × 1,410,376
  4. Step 4: Simplify right side
    641,198x = 1,989,160,461,376
  5. Step 5: Solve for x
    x = 1,989,160,461,376/641,198
  6. Step 6: Final answer
    x = 3,102,256.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.