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Finding the Third Proportional to 513,652 and 1,103,768

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Solution

The third proportional to 513,652 and 1,103,768 is: 2,371,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,652 : 1,103,768 = 1,103,768 : x
  2. Step 2: Convert to fraction form
    513,652/1,103,768 = 1,103,768/x
  3. Step 3: Cross multiply
    513,652x = 1,103,768 × 1,103,768
  4. Step 4: Simplify right side
    513,652x = 1,218,303,797,824
  5. Step 5: Solve for x
    x = 1,218,303,797,824/513,652
  6. Step 6: Final answer
    x = 2,371,846.69

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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.