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Finding the Third Proportional to 1,950,424.31 and 2,588,003.16

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Solution

The third proportional to 1,950,424.31 and 2,588,003.16 is: 3,434,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950,424.31 : 2,588,003.16 = 2,588,003.16 : x
  2. Step 2: Convert to fraction form
    1,950,424.31/2,588,003.16 = 2,588,003.16/x
  3. Step 3: Cross multiply
    1,950,424.31x = 2,588,003.16 × 2,588,003.16
  4. Step 4: Simplify right side
    1,950,424.31x = 6,697,760,336,759.96
  5. Step 5: Solve for x
    x = 6,697,760,336,759.96/1,950,424.31
  6. Step 6: Final answer
    x = 3,434,001.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.