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Finding the Third Proportional to 467,306 and 1,021,098

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Solution

The third proportional to 467,306 and 1,021,098 is: 2,231,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,306 : 1,021,098 = 1,021,098 : x
  2. Step 2: Convert to fraction form
    467,306/1,021,098 = 1,021,098/x
  3. Step 3: Cross multiply
    467,306x = 1,021,098 × 1,021,098
  4. Step 4: Simplify right side
    467,306x = 1,042,641,125,604
  5. Step 5: Solve for x
    x = 1,042,641,125,604/467,306
  6. Step 6: Final answer
    x = 2,231,174.27

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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.