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Finding the Third Proportional to 2,589,546 and 3,920,291.50

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Solution

The third proportional to 2,589,546 and 3,920,291.50 is: 5,934,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,546 : 3,920,291.50 = 3,920,291.50 : x
  2. Step 2: Convert to fraction form
    2,589,546/3,920,291.50 = 3,920,291.50/x
  3. Step 3: Cross multiply
    2,589,546x = 3,920,291.50 × 3,920,291.50
  4. Step 4: Simplify right side
    2,589,546x = 15,368,685,444,972.25
  5. Step 5: Solve for x
    x = 15,368,685,444,972.25/2,589,546
  6. Step 6: Final answer
    x = 5,934,895.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.