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Finding the Third Proportional to 738,612 and 1,606,631

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Solution

The third proportional to 738,612 and 1,606,631 is: 3,494,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,612 : 1,606,631 = 1,606,631 : x
  2. Step 2: Convert to fraction form
    738,612/1,606,631 = 1,606,631/x
  3. Step 3: Cross multiply
    738,612x = 1,606,631 × 1,606,631
  4. Step 4: Simplify right side
    738,612x = 2,581,263,170,161
  5. Step 5: Solve for x
    x = 2,581,263,170,161/738,612
  6. Step 6: Final answer
    x = 3,494,748.49

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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.