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Finding the Third Proportional to 3,826,130 and 5,859,723

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Solution

The third proportional to 3,826,130 and 5,859,723 is: 8,974,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,130 : 5,859,723 = 5,859,723 : x
  2. Step 2: Convert to fraction form
    3,826,130/5,859,723 = 5,859,723/x
  3. Step 3: Cross multiply
    3,826,130x = 5,859,723 × 5,859,723
  4. Step 4: Simplify right side
    3,826,130x = 34,336,353,636,729
  5. Step 5: Solve for x
    x = 34,336,353,636,729/3,826,130
  6. Step 6: Final answer
    x = 8,974,173.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.