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Finding the Third Proportional to 2,322,491 and 4,738,294

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Solution

The third proportional to 2,322,491 and 4,738,294 is: 9,666,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,491 : 4,738,294 = 4,738,294 : x
  2. Step 2: Convert to fraction form
    2,322,491/4,738,294 = 4,738,294/x
  3. Step 3: Cross multiply
    2,322,491x = 4,738,294 × 4,738,294
  4. Step 4: Simplify right side
    2,322,491x = 22,451,430,030,436
  5. Step 5: Solve for x
    x = 22,451,430,030,436/2,322,491
  6. Step 6: Final answer
    x = 9,666,961.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.