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Finding the Third Proportional to 738,444 and 1,589,208

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Solution

The third proportional to 738,444 and 1,589,208 is: 3,420,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,444 : 1,589,208 = 1,589,208 : x
  2. Step 2: Convert to fraction form
    738,444/1,589,208 = 1,589,208/x
  3. Step 3: Cross multiply
    738,444x = 1,589,208 × 1,589,208
  4. Step 4: Simplify right side
    738,444x = 2,525,582,067,264
  5. Step 5: Solve for x
    x = 2,525,582,067,264/738,444
  6. Step 6: Final answer
    x = 3,420,140.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.