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Finding the Third Proportional to 1,638,963 and 2,571,034

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Solution

The third proportional to 1,638,963 and 2,571,034 is: 4,033,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,963 : 2,571,034 = 2,571,034 : x
  2. Step 2: Convert to fraction form
    1,638,963/2,571,034 = 2,571,034/x
  3. Step 3: Cross multiply
    1,638,963x = 2,571,034 × 2,571,034
  4. Step 4: Simplify right side
    1,638,963x = 6,610,215,829,156
  5. Step 5: Solve for x
    x = 6,610,215,829,156/1,638,963
  6. Step 6: Final answer
    x = 4,033,169.65

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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.