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Finding the Third Proportional to 624,424 and 1,314,098

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Solution

The third proportional to 624,424 and 1,314,098 is: 2,765,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,424 : 1,314,098 = 1,314,098 : x
  2. Step 2: Convert to fraction form
    624,424/1,314,098 = 1,314,098/x
  3. Step 3: Cross multiply
    624,424x = 1,314,098 × 1,314,098
  4. Step 4: Simplify right side
    624,424x = 1,726,853,553,604
  5. Step 5: Solve for x
    x = 1,726,853,553,604/624,424
  6. Step 6: Final answer
    x = 2,765,514.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.