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Finding the Third Proportional to 1,747,930.50 and 3,813,609

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Solution

The third proportional to 1,747,930.50 and 3,813,609 is: 8,320,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,930.50 : 3,813,609 = 3,813,609 : x
  2. Step 2: Convert to fraction form
    1,747,930.50/3,813,609 = 3,813,609/x
  3. Step 3: Cross multiply
    1,747,930.50x = 3,813,609 × 3,813,609
  4. Step 4: Simplify right side
    1,747,930.50x = 14,543,613,604,881
  5. Step 5: Solve for x
    x = 14,543,613,604,881/1,747,930.50
  6. Step 6: Final answer
    x = 8,320,475.90

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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.