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Finding the Third Proportional to 516,936 and 1,096,392

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Solution

The third proportional to 516,936 and 1,096,392 is: 2,325,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,936 : 1,096,392 = 1,096,392 : x
  2. Step 2: Convert to fraction form
    516,936/1,096,392 = 1,096,392/x
  3. Step 3: Cross multiply
    516,936x = 1,096,392 × 1,096,392
  4. Step 4: Simplify right side
    516,936x = 1,202,075,417,664
  5. Step 5: Solve for x
    x = 1,202,075,417,664/516,936
  6. Step 6: Final answer
    x = 2,325,385.38

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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.