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Finding the Third Proportional to 1,276,126 and 1,914,191

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Solution

The third proportional to 1,276,126 and 1,914,191 is: 2,871,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,126 : 1,914,191 = 1,914,191 : x
  2. Step 2: Convert to fraction form
    1,276,126/1,914,191 = 1,914,191/x
  3. Step 3: Cross multiply
    1,276,126x = 1,914,191 × 1,914,191
  4. Step 4: Simplify right side
    1,276,126x = 3,664,127,184,481
  5. Step 5: Solve for x
    x = 3,664,127,184,481/1,276,126
  6. Step 6: Final answer
    x = 2,871,289.50

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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.