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Finding the Third Proportional to 658,960 and 1,446,224

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Solution

The third proportional to 658,960 and 1,446,224 is: 3,174,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,960 : 1,446,224 = 1,446,224 : x
  2. Step 2: Convert to fraction form
    658,960/1,446,224 = 1,446,224/x
  3. Step 3: Cross multiply
    658,960x = 1,446,224 × 1,446,224
  4. Step 4: Simplify right side
    658,960x = 2,091,563,858,176
  5. Step 5: Solve for x
    x = 2,091,563,858,176/658,960
  6. Step 6: Final answer
    x = 3,174,037.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.