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Finding the Third Proportional to 493,882 and 1,077,501

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Solution

The third proportional to 493,882 and 1,077,501 is: 2,350,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,882 : 1,077,501 = 1,077,501 : x
  2. Step 2: Convert to fraction form
    493,882/1,077,501 = 1,077,501/x
  3. Step 3: Cross multiply
    493,882x = 1,077,501 × 1,077,501
  4. Step 4: Simplify right side
    493,882x = 1,161,008,405,001
  5. Step 5: Solve for x
    x = 1,161,008,405,001/493,882
  6. Step 6: Final answer
    x = 2,350,780.97

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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.