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Finding the Third Proportional to 1,021,907 and 2,149,678

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Solution

The third proportional to 1,021,907 and 2,149,678 is: 4,522,050.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,907 : 2,149,678 = 2,149,678 : x
  2. Step 2: Convert to fraction form
    1,021,907/2,149,678 = 2,149,678/x
  3. Step 3: Cross multiply
    1,021,907x = 2,149,678 × 2,149,678
  4. Step 4: Simplify right side
    1,021,907x = 4,621,115,503,684
  5. Step 5: Solve for x
    x = 4,621,115,503,684/1,021,907
  6. Step 6: Final answer
    x = 4,522,050.93

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.