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Finding the Third Proportional to 376,024 and 820,646

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Solution

The third proportional to 376,024 and 820,646 is: 1,791,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,024 : 820,646 = 820,646 : x
  2. Step 2: Convert to fraction form
    376,024/820,646 = 820,646/x
  3. Step 3: Cross multiply
    376,024x = 820,646 × 820,646
  4. Step 4: Simplify right side
    376,024x = 673,459,857,316
  5. Step 5: Solve for x
    x = 673,459,857,316/376,024
  6. Step 6: Final answer
    x = 1,791,002.32

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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.