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Finding the Third Proportional to 747,956 and 1,645,444

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Solution

The third proportional to 747,956 and 1,645,444 is: 3,619,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,956 : 1,645,444 = 1,645,444 : x
  2. Step 2: Convert to fraction form
    747,956/1,645,444 = 1,645,444/x
  3. Step 3: Cross multiply
    747,956x = 1,645,444 × 1,645,444
  4. Step 4: Simplify right side
    747,956x = 2,707,485,957,136
  5. Step 5: Solve for x
    x = 2,707,485,957,136/747,956
  6. Step 6: Final answer
    x = 3,619,846.56

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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.