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Finding the Third Proportional to 803,099 and 1,101,267

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Solution

The third proportional to 803,099 and 1,101,267 is: 1,510,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,099 : 1,101,267 = 1,101,267 : x
  2. Step 2: Convert to fraction form
    803,099/1,101,267 = 1,101,267/x
  3. Step 3: Cross multiply
    803,099x = 1,101,267 × 1,101,267
  4. Step 4: Simplify right side
    803,099x = 1,212,789,005,289
  5. Step 5: Solve for x
    x = 1,212,789,005,289/803,099
  6. Step 6: Final answer
    x = 1,510,136.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.