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Finding the Third Proportional to 683,198 and 1,021,028

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Solution

The third proportional to 683,198 and 1,021,028 is: 1,525,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,198 : 1,021,028 = 1,021,028 : x
  2. Step 2: Convert to fraction form
    683,198/1,021,028 = 1,021,028/x
  3. Step 3: Cross multiply
    683,198x = 1,021,028 × 1,021,028
  4. Step 4: Simplify right side
    683,198x = 1,042,498,176,784
  5. Step 5: Solve for x
    x = 1,042,498,176,784/683,198
  6. Step 6: Final answer
    x = 1,525,909.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.