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Finding the Third Proportional to 2,255,170 and 4,731,774

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Solution

The third proportional to 2,255,170 and 4,731,774 is: 9,928,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,170 : 4,731,774 = 4,731,774 : x
  2. Step 2: Convert to fraction form
    2,255,170/4,731,774 = 4,731,774/x
  3. Step 3: Cross multiply
    2,255,170x = 4,731,774 × 4,731,774
  4. Step 4: Simplify right side
    2,255,170x = 22,389,685,187,076
  5. Step 5: Solve for x
    x = 22,389,685,187,076/2,255,170
  6. Step 6: Final answer
    x = 9,928,158.49

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