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Finding the Third Proportional to 3,983,688 and 6,022,968

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Solution

The third proportional to 3,983,688 and 6,022,968 is: 9,106,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983,688 : 6,022,968 = 6,022,968 : x
  2. Step 2: Convert to fraction form
    3,983,688/6,022,968 = 6,022,968/x
  3. Step 3: Cross multiply
    3,983,688x = 6,022,968 × 6,022,968
  4. Step 4: Simplify right side
    3,983,688x = 36,276,143,529,024
  5. Step 5: Solve for x
    x = 36,276,143,529,024/3,983,688
  6. Step 6: Final answer
    x = 9,106,170.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.