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Finding the Third Proportional to 492,728 and 1,059,108

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Solution

The third proportional to 492,728 and 1,059,108 is: 2,276,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,728 : 1,059,108 = 1,059,108 : x
  2. Step 2: Convert to fraction form
    492,728/1,059,108 = 1,059,108/x
  3. Step 3: Cross multiply
    492,728x = 1,059,108 × 1,059,108
  4. Step 4: Simplify right side
    492,728x = 1,121,709,755,664
  5. Step 5: Solve for x
    x = 1,121,709,755,664/492,728
  6. Step 6: Final answer
    x = 2,276,529.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.