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Finding the Third Proportional to 772,372.50 and 1,682,052

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Solution

The third proportional to 772,372.50 and 1,682,052 is: 3,663,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,372.50 : 1,682,052 = 1,682,052 : x
  2. Step 2: Convert to fraction form
    772,372.50/1,682,052 = 1,682,052/x
  3. Step 3: Cross multiply
    772,372.50x = 1,682,052 × 1,682,052
  4. Step 4: Simplify right side
    772,372.50x = 2,829,298,930,704
  5. Step 5: Solve for x
    x = 2,829,298,930,704/772,372.50
  6. Step 6: Final answer
    x = 3,663,127.48

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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.