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Finding the Third Proportional to 437,103 and 936,414

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Solution

The third proportional to 437,103 and 936,414 is: 2,006,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,103 : 936,414 = 936,414 : x
  2. Step 2: Convert to fraction form
    437,103/936,414 = 936,414/x
  3. Step 3: Cross multiply
    437,103x = 936,414 × 936,414
  4. Step 4: Simplify right side
    437,103x = 876,871,179,396
  5. Step 5: Solve for x
    x = 876,871,179,396/437,103
  6. Step 6: Final answer
    x = 2,006,097.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.