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Finding the Third Proportional to 1,638,980 and 2,571,084

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Solution

The third proportional to 1,638,980 and 2,571,084 is: 4,033,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,980 : 2,571,084 = 2,571,084 : x
  2. Step 2: Convert to fraction form
    1,638,980/2,571,084 = 2,571,084/x
  3. Step 3: Cross multiply
    1,638,980x = 2,571,084 × 2,571,084
  4. Step 4: Simplify right side
    1,638,980x = 6,610,472,935,056
  5. Step 5: Solve for x
    x = 6,610,472,935,056/1,638,980
  6. Step 6: Final answer
    x = 4,033,284.69

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