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Finding the Third Proportional to 1,100,966 and 1,701,549

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Solution

The third proportional to 1,100,966 and 1,701,549 is: 2,629,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,966 : 1,701,549 = 1,701,549 : x
  2. Step 2: Convert to fraction form
    1,100,966/1,701,549 = 1,701,549/x
  3. Step 3: Cross multiply
    1,100,966x = 1,701,549 × 1,701,549
  4. Step 4: Simplify right side
    1,100,966x = 2,895,268,999,401
  5. Step 5: Solve for x
    x = 2,895,268,999,401/1,100,966
  6. Step 6: Final answer
    x = 2,629,753.33

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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.