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Finding the Third Proportional to 1,414,520 and 2,894,407

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Solution

The third proportional to 1,414,520 and 2,894,407 is: 5,922,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,520 : 2,894,407 = 2,894,407 : x
  2. Step 2: Convert to fraction form
    1,414,520/2,894,407 = 2,894,407/x
  3. Step 3: Cross multiply
    1,414,520x = 2,894,407 × 2,894,407
  4. Step 4: Simplify right side
    1,414,520x = 8,377,591,881,649
  5. Step 5: Solve for x
    x = 8,377,591,881,649/1,414,520
  6. Step 6: Final answer
    x = 5,922,568.70

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.