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Finding the Third Proportional to 1,410,941 and 2,129,131.50

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Solution

The third proportional to 1,410,941 and 2,129,131.50 is: 3,212,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,941 : 2,129,131.50 = 2,129,131.50 : x
  2. Step 2: Convert to fraction form
    1,410,941/2,129,131.50 = 2,129,131.50/x
  3. Step 3: Cross multiply
    1,410,941x = 2,129,131.50 × 2,129,131.50
  4. Step 4: Simplify right side
    1,410,941x = 4,533,200,944,292.25
  5. Step 5: Solve for x
    x = 4,533,200,944,292.25/1,410,941
  6. Step 6: Final answer
    x = 3,212,891.92

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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.