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Finding the Third Proportional to 438,244 and 920,756

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Solution

The third proportional to 438,244 and 920,756 is: 1,934,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,244 : 920,756 = 920,756 : x
  2. Step 2: Convert to fraction form
    438,244/920,756 = 920,756/x
  3. Step 3: Cross multiply
    438,244x = 920,756 × 920,756
  4. Step 4: Simplify right side
    438,244x = 847,791,611,536
  5. Step 5: Solve for x
    x = 847,791,611,536/438,244
  6. Step 6: Final answer
    x = 1,934,519.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.