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Finding the Third Proportional to 732,837 and 1,614,754.50

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Solution

The third proportional to 732,837 and 1,614,754.50 is: 3,557,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,837 : 1,614,754.50 = 1,614,754.50 : x
  2. Step 2: Convert to fraction form
    732,837/1,614,754.50 = 1,614,754.50/x
  3. Step 3: Cross multiply
    732,837x = 1,614,754.50 × 1,614,754.50
  4. Step 4: Simplify right side
    732,837x = 2,607,432,095,270.25
  5. Step 5: Solve for x
    x = 2,607,432,095,270.25/732,837
  6. Step 6: Final answer
    x = 3,557,997.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.