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Finding the Third Proportional to 685,704 and 1,493,264

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Solution

The third proportional to 685,704 and 1,493,264 is: 3,251,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,704 : 1,493,264 = 1,493,264 : x
  2. Step 2: Convert to fraction form
    685,704/1,493,264 = 1,493,264/x
  3. Step 3: Cross multiply
    685,704x = 1,493,264 × 1,493,264
  4. Step 4: Simplify right side
    685,704x = 2,229,837,373,696
  5. Step 5: Solve for x
    x = 2,229,837,373,696/685,704
  6. Step 6: Final answer
    x = 3,251,894.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.