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Finding the Third Proportional to 1,962,405 and 2,953,327.50

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Solution

The third proportional to 1,962,405 and 2,953,327.50 is: 4,444,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962,405 : 2,953,327.50 = 2,953,327.50 : x
  2. Step 2: Convert to fraction form
    1,962,405/2,953,327.50 = 2,953,327.50/x
  3. Step 3: Cross multiply
    1,962,405x = 2,953,327.50 × 2,953,327.50
  4. Step 4: Simplify right side
    1,962,405x = 8,722,143,322,256.25
  5. Step 5: Solve for x
    x = 8,722,143,322,256.25/1,962,405
  6. Step 6: Final answer
    x = 4,444,619.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.