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Finding the Third Proportional to 940,624 and 1,419,416

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Solution

The third proportional to 940,624 and 1,419,416 is: 2,141,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,624 : 1,419,416 = 1,419,416 : x
  2. Step 2: Convert to fraction form
    940,624/1,419,416 = 1,419,416/x
  3. Step 3: Cross multiply
    940,624x = 1,419,416 × 1,419,416
  4. Step 4: Simplify right side
    940,624x = 2,014,741,781,056
  5. Step 5: Solve for x
    x = 2,014,741,781,056/940,624
  6. Step 6: Final answer
    x = 2,141,920.45

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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.