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Finding the Third Proportional to 1,834,024 and 4,022,341

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Solution

The third proportional to 1,834,024 and 4,022,341 is: 8,821,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,024 : 4,022,341 = 4,022,341 : x
  2. Step 2: Convert to fraction form
    1,834,024/4,022,341 = 4,022,341/x
  3. Step 3: Cross multiply
    1,834,024x = 4,022,341 × 4,022,341
  4. Step 4: Simplify right side
    1,834,024x = 16,179,227,120,281
  5. Step 5: Solve for x
    x = 16,179,227,120,281/1,834,024
  6. Step 6: Final answer
    x = 8,821,709.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.