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Finding the Third Proportional to 1,275,972 and 1,733,652

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Solution

The third proportional to 1,275,972 and 1,733,652 is: 2,355,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,972 : 1,733,652 = 1,733,652 : x
  2. Step 2: Convert to fraction form
    1,275,972/1,733,652 = 1,733,652/x
  3. Step 3: Cross multiply
    1,275,972x = 1,733,652 × 1,733,652
  4. Step 4: Simplify right side
    1,275,972x = 3,005,549,257,104
  5. Step 5: Solve for x
    x = 3,005,549,257,104/1,275,972
  6. Step 6: Final answer
    x = 2,355,497.81

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.