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Finding the Third Proportional to 970,728 and 1,469,676

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Solution

The third proportional to 970,728 and 1,469,676 is: 2,225,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,728 : 1,469,676 = 1,469,676 : x
  2. Step 2: Convert to fraction form
    970,728/1,469,676 = 1,469,676/x
  3. Step 3: Cross multiply
    970,728x = 1,469,676 × 1,469,676
  4. Step 4: Simplify right side
    970,728x = 2,159,947,544,976
  5. Step 5: Solve for x
    x = 2,159,947,544,976/970,728
  6. Step 6: Final answer
    x = 2,225,080.09

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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.