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Finding the Third Proportional to 586,879 and 1,236,807

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Solution

The third proportional to 586,879 and 1,236,807 is: 2,606,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,879 : 1,236,807 = 1,236,807 : x
  2. Step 2: Convert to fraction form
    586,879/1,236,807 = 1,236,807/x
  3. Step 3: Cross multiply
    586,879x = 1,236,807 × 1,236,807
  4. Step 4: Simplify right side
    586,879x = 1,529,691,555,249
  5. Step 5: Solve for x
    x = 1,529,691,555,249/586,879
  6. Step 6: Final answer
    x = 2,606,485.42

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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.