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Finding the Third Proportional to 1,288,360 and 2,831,632

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Solution

The third proportional to 1,288,360 and 2,831,632 is: 6,223,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,360 : 2,831,632 = 2,831,632 : x
  2. Step 2: Convert to fraction form
    1,288,360/2,831,632 = 2,831,632/x
  3. Step 3: Cross multiply
    1,288,360x = 2,831,632 × 2,831,632
  4. Step 4: Simplify right side
    1,288,360x = 8,018,139,783,424
  5. Step 5: Solve for x
    x = 8,018,139,783,424/1,288,360
  6. Step 6: Final answer
    x = 6,223,524.31

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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.