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Finding the Third Proportional to 685,373 and 1,485,148

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Solution

The third proportional to 685,373 and 1,485,148 is: 3,218,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,373 : 1,485,148 = 1,485,148 : x
  2. Step 2: Convert to fraction form
    685,373/1,485,148 = 1,485,148/x
  3. Step 3: Cross multiply
    685,373x = 1,485,148 × 1,485,148
  4. Step 4: Simplify right side
    685,373x = 2,205,664,581,904
  5. Step 5: Solve for x
    x = 2,205,664,581,904/685,373
  6. Step 6: Final answer
    x = 3,218,195.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.