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Finding the Third Proportional to 657,732 and 1,441,149

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Solution

The third proportional to 657,732 and 1,441,149 is: 3,157,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,732 : 1,441,149 = 1,441,149 : x
  2. Step 2: Convert to fraction form
    657,732/1,441,149 = 1,441,149/x
  3. Step 3: Cross multiply
    657,732x = 1,441,149 × 1,441,149
  4. Step 4: Simplify right side
    657,732x = 2,076,910,440,201
  5. Step 5: Solve for x
    x = 2,076,910,440,201/657,732
  6. Step 6: Final answer
    x = 3,157,684.95

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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.