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Finding the Third Proportional to 1,410,932 and 2,129,120

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Solution

The third proportional to 1,410,932 and 2,129,120 is: 3,212,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,932 : 2,129,120 = 2,129,120 : x
  2. Step 2: Convert to fraction form
    1,410,932/2,129,120 = 2,129,120/x
  3. Step 3: Cross multiply
    1,410,932x = 2,129,120 × 2,129,120
  4. Step 4: Simplify right side
    1,410,932x = 4,533,151,974,400
  5. Step 5: Solve for x
    x = 4,533,151,974,400/1,410,932
  6. Step 6: Final answer
    x = 3,212,877.71

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