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Finding the Third Proportional to 841,494 and 1,851,234

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Solution

The third proportional to 841,494 and 1,851,234 is: 4,072,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,494 : 1,851,234 = 1,851,234 : x
  2. Step 2: Convert to fraction form
    841,494/1,851,234 = 1,851,234/x
  3. Step 3: Cross multiply
    841,494x = 1,851,234 × 1,851,234
  4. Step 4: Simplify right side
    841,494x = 3,427,067,322,756
  5. Step 5: Solve for x
    x = 3,427,067,322,756/841,494
  6. Step 6: Final answer
    x = 4,072,598.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.