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Finding the Third Proportional to 2,255,166 and 4,731,765

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Solution

The third proportional to 2,255,166 and 4,731,765 is: 9,928,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,166 : 4,731,765 = 4,731,765 : x
  2. Step 2: Convert to fraction form
    2,255,166/4,731,765 = 4,731,765/x
  3. Step 3: Cross multiply
    2,255,166x = 4,731,765 × 4,731,765
  4. Step 4: Simplify right side
    2,255,166x = 22,389,600,015,225
  5. Step 5: Solve for x
    x = 22,389,600,015,225/2,255,166
  6. Step 6: Final answer
    x = 9,928,138.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.