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Finding the Third Proportional to 586,881 and 1,236,811

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Solution

The third proportional to 586,881 and 1,236,811 is: 2,606,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,881 : 1,236,811 = 1,236,811 : x
  2. Step 2: Convert to fraction form
    586,881/1,236,811 = 1,236,811/x
  3. Step 3: Cross multiply
    586,881x = 1,236,811 × 1,236,811
  4. Step 4: Simplify right side
    586,881x = 1,529,701,449,721
  5. Step 5: Solve for x
    x = 1,529,701,449,721/586,881
  6. Step 6: Final answer
    x = 2,606,493.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.