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Finding the Third Proportional to 738,608 and 1,606,625

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Solution

The third proportional to 738,608 and 1,606,625 is: 3,494,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,608 : 1,606,625 = 1,606,625 : x
  2. Step 2: Convert to fraction form
    738,608/1,606,625 = 1,606,625/x
  3. Step 3: Cross multiply
    738,608x = 1,606,625 × 1,606,625
  4. Step 4: Simplify right side
    738,608x = 2,581,243,890,625
  5. Step 5: Solve for x
    x = 2,581,243,890,625/738,608
  6. Step 6: Final answer
    x = 3,494,741.31

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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.