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Finding the Third Proportional to 3,281,661 and 4,967,765

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Solution

The third proportional to 3,281,661 and 4,967,765 is: 7,520,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,661 : 4,967,765 = 4,967,765 : x
  2. Step 2: Convert to fraction form
    3,281,661/4,967,765 = 4,967,765/x
  3. Step 3: Cross multiply
    3,281,661x = 4,967,765 × 4,967,765
  4. Step 4: Simplify right side
    3,281,661x = 24,678,689,095,225
  5. Step 5: Solve for x
    x = 24,678,689,095,225/3,281,661
  6. Step 6: Final answer
    x = 7,520,182.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.