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Finding the Third Proportional to 654,450 and 1,387,992

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Solution

The third proportional to 654,450 and 1,387,992 is: 2,943,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,450 : 1,387,992 = 1,387,992 : x
  2. Step 2: Convert to fraction form
    654,450/1,387,992 = 1,387,992/x
  3. Step 3: Cross multiply
    654,450x = 1,387,992 × 1,387,992
  4. Step 4: Simplify right side
    654,450x = 1,926,521,792,064
  5. Step 5: Solve for x
    x = 1,926,521,792,064/654,450
  6. Step 6: Final answer
    x = 2,943,726.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.