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Finding the Third Proportional to 514,911 and 1,076,874

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Solution

The third proportional to 514,911 and 1,076,874 is: 2,252,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,911 : 1,076,874 = 1,076,874 : x
  2. Step 2: Convert to fraction form
    514,911/1,076,874 = 1,076,874/x
  3. Step 3: Cross multiply
    514,911x = 1,076,874 × 1,076,874
  4. Step 4: Simplify right side
    514,911x = 1,159,657,611,876
  5. Step 5: Solve for x
    x = 1,159,657,611,876/514,911
  6. Step 6: Final answer
    x = 2,252,151.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.