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Finding the Third Proportional to 747,576 and 1,593,013.50

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Solution

The third proportional to 747,576 and 1,593,013.50 is: 3,394,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,576 : 1,593,013.50 = 1,593,013.50 : x
  2. Step 2: Convert to fraction form
    747,576/1,593,013.50 = 1,593,013.50/x
  3. Step 3: Cross multiply
    747,576x = 1,593,013.50 × 1,593,013.50
  4. Step 4: Simplify right side
    747,576x = 2,537,692,011,182.25
  5. Step 5: Solve for x
    x = 2,537,692,011,182.25/747,576
  6. Step 6: Final answer
    x = 3,394,560.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.