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Finding the Third Proportional to 1,099,593.98 and 1,702,596.59

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Solution

The third proportional to 1,099,593.98 and 1,702,596.59 is: 2,636,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,593.98 : 1,702,596.59 = 1,702,596.59 : x
  2. Step 2: Convert to fraction form
    1,099,593.98/1,702,596.59 = 1,702,596.59/x
  3. Step 3: Cross multiply
    1,099,593.98x = 1,702,596.59 × 1,702,596.59
  4. Step 4: Simplify right side
    1,099,593.98x = 2,898,835,134,446.03
  5. Step 5: Solve for x
    x = 2,898,835,134,446.03/1,099,593.98
  6. Step 6: Final answer
    x = 2,636,277.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.