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Finding the Third Proportional to 490,007 and 737,861

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Solution

The third proportional to 490,007 and 737,861 is: 1,111,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,007 : 737,861 = 737,861 : x
  2. Step 2: Convert to fraction form
    490,007/737,861 = 737,861/x
  3. Step 3: Cross multiply
    490,007x = 737,861 × 737,861
  4. Step 4: Simplify right side
    490,007x = 544,438,855,321
  5. Step 5: Solve for x
    x = 544,438,855,321/490,007
  6. Step 6: Final answer
    x = 1,111,083.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.