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Finding the Third Proportional to 747,729 and 1,621,656

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Solution

The third proportional to 747,729 and 1,621,656 is: 3,517,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,729 : 1,621,656 = 1,621,656 : x
  2. Step 2: Convert to fraction form
    747,729/1,621,656 = 1,621,656/x
  3. Step 3: Cross multiply
    747,729x = 1,621,656 × 1,621,656
  4. Step 4: Simplify right side
    747,729x = 2,629,768,182,336
  5. Step 5: Solve for x
    x = 2,629,768,182,336/747,729
  6. Step 6: Final answer
    x = 3,517,007.07

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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.