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Finding the Third Proportional to 519,796 and 1,138,864

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Solution

The third proportional to 519,796 and 1,138,864 is: 2,495,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,796 : 1,138,864 = 1,138,864 : x
  2. Step 2: Convert to fraction form
    519,796/1,138,864 = 1,138,864/x
  3. Step 3: Cross multiply
    519,796x = 1,138,864 × 1,138,864
  4. Step 4: Simplify right side
    519,796x = 1,297,011,210,496
  5. Step 5: Solve for x
    x = 1,297,011,210,496/519,796
  6. Step 6: Final answer
    x = 2,495,231.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.