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Finding the Third Proportional to 748,507.50 and 1,619,919

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Solution

The third proportional to 748,507.50 and 1,619,919 is: 3,505,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,507.50 : 1,619,919 = 1,619,919 : x
  2. Step 2: Convert to fraction form
    748,507.50/1,619,919 = 1,619,919/x
  3. Step 3: Cross multiply
    748,507.50x = 1,619,919 × 1,619,919
  4. Step 4: Simplify right side
    748,507.50x = 2,624,137,566,561
  5. Step 5: Solve for x
    x = 2,624,137,566,561/748,507.50
  6. Step 6: Final answer
    x = 3,505,826.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.