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Finding the Third Proportional to 886,743 and 1,836,549

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Solution

The third proportional to 886,743 and 1,836,549 is: 3,803,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,743 : 1,836,549 = 1,836,549 : x
  2. Step 2: Convert to fraction form
    886,743/1,836,549 = 1,836,549/x
  3. Step 3: Cross multiply
    886,743x = 1,836,549 × 1,836,549
  4. Step 4: Simplify right side
    886,743x = 3,372,912,229,401
  5. Step 5: Solve for x
    x = 3,372,912,229,401/886,743
  6. Step 6: Final answer
    x = 3,803,708.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.