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Finding the Third Proportional to 4,961,457 and 7,471,224

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Solution

The third proportional to 4,961,457 and 7,471,224 is: 11,250,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961,457 : 7,471,224 = 7,471,224 : x
  2. Step 2: Convert to fraction form
    4,961,457/7,471,224 = 7,471,224/x
  3. Step 3: Cross multiply
    4,961,457x = 7,471,224 × 7,471,224
  4. Step 4: Simplify right side
    4,961,457x = 55,819,188,058,176
  5. Step 5: Solve for x
    x = 55,819,188,058,176/4,961,457
  6. Step 6: Final answer
    x = 11,250,563.71

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