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Finding the Third Proportional to 2,072,638 and 4,489,340

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Solution

The third proportional to 2,072,638 and 4,489,340 is: 9,723,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,638 : 4,489,340 = 4,489,340 : x
  2. Step 2: Convert to fraction form
    2,072,638/4,489,340 = 4,489,340/x
  3. Step 3: Cross multiply
    2,072,638x = 4,489,340 × 4,489,340
  4. Step 4: Simplify right side
    2,072,638x = 20,154,173,635,600
  5. Step 5: Solve for x
    x = 20,154,173,635,600/2,072,638
  6. Step 6: Final answer
    x = 9,723,923.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.