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Finding the Third Proportional to 436,937 and 937,864

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Solution

The third proportional to 436,937 and 937,864 is: 2,013,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,937 : 937,864 = 937,864 : x
  2. Step 2: Convert to fraction form
    436,937/937,864 = 937,864/x
  3. Step 3: Cross multiply
    436,937x = 937,864 × 937,864
  4. Step 4: Simplify right side
    436,937x = 879,588,882,496
  5. Step 5: Solve for x
    x = 879,588,882,496/436,937
  6. Step 6: Final answer
    x = 2,013,079.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.