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Finding the Third Proportional to 2,410,560 and 3,646,944

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Solution

The third proportional to 2,410,560 and 3,646,944 is: 5,517,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410,560 : 3,646,944 = 3,646,944 : x
  2. Step 2: Convert to fraction form
    2,410,560/3,646,944 = 3,646,944/x
  3. Step 3: Cross multiply
    2,410,560x = 3,646,944 × 3,646,944
  4. Step 4: Simplify right side
    2,410,560x = 13,300,200,539,136
  5. Step 5: Solve for x
    x = 13,300,200,539,136/2,410,560
  6. Step 6: Final answer
    x = 5,517,473.34

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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.