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Finding the Third Proportional to 376,937 and 820,356

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Solution

The third proportional to 376,937 and 820,356 is: 1,785,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,937 : 820,356 = 820,356 : x
  2. Step 2: Convert to fraction form
    376,937/820,356 = 820,356/x
  3. Step 3: Cross multiply
    376,937x = 820,356 × 820,356
  4. Step 4: Simplify right side
    376,937x = 672,983,966,736
  5. Step 5: Solve for x
    x = 672,983,966,736/376,937
  6. Step 6: Final answer
    x = 1,785,401.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.