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Finding the Third Proportional to 436,109 and 934,426

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Solution

The third proportional to 436,109 and 934,426 is: 2,002,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,109 : 934,426 = 934,426 : x
  2. Step 2: Convert to fraction form
    436,109/934,426 = 934,426/x
  3. Step 3: Cross multiply
    436,109x = 934,426 × 934,426
  4. Step 4: Simplify right side
    436,109x = 873,151,949,476
  5. Step 5: Solve for x
    x = 873,151,949,476/436,109
  6. Step 6: Final answer
    x = 2,002,141.55

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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.