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Finding the Third Proportional to 1,743,184 and 3,766,467

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Solution

The third proportional to 1,743,184 and 3,766,467 is: 8,138,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,184 : 3,766,467 = 3,766,467 : x
  2. Step 2: Convert to fraction form
    1,743,184/3,766,467 = 3,766,467/x
  3. Step 3: Cross multiply
    1,743,184x = 3,766,467 × 3,766,467
  4. Step 4: Simplify right side
    1,743,184x = 14,186,273,662,089
  5. Step 5: Solve for x
    x = 14,186,273,662,089/1,743,184
  6. Step 6: Final answer
    x = 8,138,138.98

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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.