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Finding the Third Proportional to 713,227 and 1,058,050

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Solution

The third proportional to 713,227 and 1,058,050 is: 1,569,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,227 : 1,058,050 = 1,058,050 : x
  2. Step 2: Convert to fraction form
    713,227/1,058,050 = 1,058,050/x
  3. Step 3: Cross multiply
    713,227x = 1,058,050 × 1,058,050
  4. Step 4: Simplify right side
    713,227x = 1,119,469,802,500
  5. Step 5: Solve for x
    x = 1,119,469,802,500/713,227
  6. Step 6: Final answer
    x = 1,569,584.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.