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Finding the Third Proportional to 577,696 and 1,246,734

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Solution

The third proportional to 577,696 and 1,246,734 is: 2,690,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,696 : 1,246,734 = 1,246,734 : x
  2. Step 2: Convert to fraction form
    577,696/1,246,734 = 1,246,734/x
  3. Step 3: Cross multiply
    577,696x = 1,246,734 × 1,246,734
  4. Step 4: Simplify right side
    577,696x = 1,554,345,666,756
  5. Step 5: Solve for x
    x = 1,554,345,666,756/577,696
  6. Step 6: Final answer
    x = 2,690,594.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.