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Finding the Third Proportional to 2,612,846 and 5,646,064

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Solution

The third proportional to 2,612,846 and 5,646,064 is: 12,200,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612,846 : 5,646,064 = 5,646,064 : x
  2. Step 2: Convert to fraction form
    2,612,846/5,646,064 = 5,646,064/x
  3. Step 3: Cross multiply
    2,612,846x = 5,646,064 × 5,646,064
  4. Step 4: Simplify right side
    2,612,846x = 31,878,038,692,096
  5. Step 5: Solve for x
    x = 31,878,038,692,096/2,612,846
  6. Step 6: Final answer
    x = 12,200,504.24

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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.