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Finding the Third Proportional to 2,562,096 and 5,605,728

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Solution

The third proportional to 2,562,096 and 5,605,728 is: 12,265,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562,096 : 5,605,728 = 5,605,728 : x
  2. Step 2: Convert to fraction form
    2,562,096/5,605,728 = 5,605,728/x
  3. Step 3: Cross multiply
    2,562,096x = 5,605,728 × 5,605,728
  4. Step 4: Simplify right side
    2,562,096x = 31,424,186,409,984
  5. Step 5: Solve for x
    x = 31,424,186,409,984/2,562,096
  6. Step 6: Final answer
    x = 12,265,030.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.