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Finding the Third Proportional to 1,076,276 and 2,283,745

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Solution

The third proportional to 1,076,276 and 2,283,745 is: 4,845,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,276 : 2,283,745 = 2,283,745 : x
  2. Step 2: Convert to fraction form
    1,076,276/2,283,745 = 2,283,745/x
  3. Step 3: Cross multiply
    1,076,276x = 2,283,745 × 2,283,745
  4. Step 4: Simplify right side
    1,076,276x = 5,215,491,225,025
  5. Step 5: Solve for x
    x = 5,215,491,225,025/1,076,276
  6. Step 6: Final answer
    x = 4,845,867.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.