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Finding the Third Proportional to 1,638,349 and 2,457,525

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Solution

The third proportional to 1,638,349 and 2,457,525 is: 3,686,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,349 : 2,457,525 = 2,457,525 : x
  2. Step 2: Convert to fraction form
    1,638,349/2,457,525 = 2,457,525/x
  3. Step 3: Cross multiply
    1,638,349x = 2,457,525 × 2,457,525
  4. Step 4: Simplify right side
    1,638,349x = 6,039,429,125,625
  5. Step 5: Solve for x
    x = 6,039,429,125,625/1,638,349
  6. Step 6: Final answer
    x = 3,686,289.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.