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Finding the Third Proportional to 1,305,560 and 2,868,064

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Solution

The third proportional to 1,305,560 and 2,868,064 is: 6,300,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,560 : 2,868,064 = 2,868,064 : x
  2. Step 2: Convert to fraction form
    1,305,560/2,868,064 = 2,868,064/x
  3. Step 3: Cross multiply
    1,305,560x = 2,868,064 × 2,868,064
  4. Step 4: Simplify right side
    1,305,560x = 8,225,791,108,096
  5. Step 5: Solve for x
    x = 8,225,791,108,096/1,305,560
  6. Step 6: Final answer
    x = 6,300,584.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.