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Finding the Third Proportional to 493,407 and 1,062,948

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Solution

The third proportional to 493,407 and 1,062,948 is: 2,289,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,407 : 1,062,948 = 1,062,948 : x
  2. Step 2: Convert to fraction form
    493,407/1,062,948 = 1,062,948/x
  3. Step 3: Cross multiply
    493,407x = 1,062,948 × 1,062,948
  4. Step 4: Simplify right side
    493,407x = 1,129,858,450,704
  5. Step 5: Solve for x
    x = 1,129,858,450,704/493,407
  6. Step 6: Final answer
    x = 2,289,911.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.