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Finding the Third Proportional to 514,896 and 1,076,846

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Solution

The third proportional to 514,896 and 1,076,846 is: 2,252,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,896 : 1,076,846 = 1,076,846 : x
  2. Step 2: Convert to fraction form
    514,896/1,076,846 = 1,076,846/x
  3. Step 3: Cross multiply
    514,896x = 1,076,846 × 1,076,846
  4. Step 4: Simplify right side
    514,896x = 1,159,597,307,716
  5. Step 5: Solve for x
    x = 1,159,597,307,716/514,896
  6. Step 6: Final answer
    x = 2,252,100.05

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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.