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Finding the Third Proportional to 1,589,670 and 3,443,237.75

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Solution

The third proportional to 1,589,670 and 3,443,237.75 is: 7,458,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,670 : 3,443,237.75 = 3,443,237.75 : x
  2. Step 2: Convert to fraction form
    1,589,670/3,443,237.75 = 3,443,237.75/x
  3. Step 3: Cross multiply
    1,589,670x = 3,443,237.75 × 3,443,237.75
  4. Step 4: Simplify right side
    1,589,670x = 11,855,886,203,025.06
  5. Step 5: Solve for x
    x = 11,855,886,203,025.06/1,589,670
  6. Step 6: Final answer
    x = 7,458,080.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.