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Finding the Third Proportional to 493,609 and 1,049,501

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Solution

The third proportional to 493,609 and 1,049,501 is: 2,231,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,609 : 1,049,501 = 1,049,501 : x
  2. Step 2: Convert to fraction form
    493,609/1,049,501 = 1,049,501/x
  3. Step 3: Cross multiply
    493,609x = 1,049,501 × 1,049,501
  4. Step 4: Simplify right side
    493,609x = 1,101,452,349,001
  5. Step 5: Solve for x
    x = 1,101,452,349,001/493,609
  6. Step 6: Final answer
    x = 2,231,426.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.