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Finding the Third Proportional to 2,821,006 and 4,297,607

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Solution

The third proportional to 2,821,006 and 4,297,607 is: 6,547,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821,006 : 4,297,607 = 4,297,607 : x
  2. Step 2: Convert to fraction form
    2,821,006/4,297,607 = 4,297,607/x
  3. Step 3: Cross multiply
    2,821,006x = 4,297,607 × 4,297,607
  4. Step 4: Simplify right side
    2,821,006x = 18,469,425,926,449
  5. Step 5: Solve for x
    x = 18,469,425,926,449/2,821,006
  6. Step 6: Final answer
    x = 6,547,106.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.