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Finding the Third Proportional to 1,638,978 and 2,571,081

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Solution

The third proportional to 1,638,978 and 2,571,081 is: 4,033,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,978 : 2,571,081 = 2,571,081 : x
  2. Step 2: Convert to fraction form
    1,638,978/2,571,081 = 2,571,081/x
  3. Step 3: Cross multiply
    1,638,978x = 2,571,081 × 2,571,081
  4. Step 4: Simplify right side
    1,638,978x = 6,610,457,508,561
  5. Step 5: Solve for x
    x = 6,610,457,508,561/1,638,978
  6. Step 6: Final answer
    x = 4,033,280.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.