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Finding the Third Proportional to 1,414,522 and 2,894,414

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Solution

The third proportional to 1,414,522 and 2,894,414 is: 5,922,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,522 : 2,894,414 = 2,894,414 : x
  2. Step 2: Convert to fraction form
    1,414,522/2,894,414 = 2,894,414/x
  3. Step 3: Cross multiply
    1,414,522x = 2,894,414 × 2,894,414
  4. Step 4: Simplify right side
    1,414,522x = 8,377,632,403,396
  5. Step 5: Solve for x
    x = 8,377,632,403,396/1,414,522
  6. Step 6: Final answer
    x = 5,922,588.98

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Why These Related Problems?

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