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Finding the Third Proportional to 1,021,923 and 2,109,446

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Solution

The third proportional to 1,021,923 and 2,109,446 is: 4,354,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,923 : 2,109,446 = 2,109,446 : x
  2. Step 2: Convert to fraction form
    1,021,923/2,109,446 = 2,109,446/x
  3. Step 3: Cross multiply
    1,021,923x = 2,109,446 × 2,109,446
  4. Step 4: Simplify right side
    1,021,923x = 4,449,762,426,916
  5. Step 5: Solve for x
    x = 4,449,762,426,916/1,021,923
  6. Step 6: Final answer
    x = 4,354,303.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.