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Finding the Third Proportional to 559,036 and 1,206,596

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Solution

The third proportional to 559,036 and 1,206,596 is: 2,604,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,036 : 1,206,596 = 1,206,596 : x
  2. Step 2: Convert to fraction form
    559,036/1,206,596 = 1,206,596/x
  3. Step 3: Cross multiply
    559,036x = 1,206,596 × 1,206,596
  4. Step 4: Simplify right side
    559,036x = 1,455,873,907,216
  5. Step 5: Solve for x
    x = 1,455,873,907,216/559,036
  6. Step 6: Final answer
    x = 2,604,257.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.