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Finding the Third Proportional to 2,406,150 and 3,385,404

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Solution

The third proportional to 2,406,150 and 3,385,404 is: 4,763,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,150 : 3,385,404 = 3,385,404 : x
  2. Step 2: Convert to fraction form
    2,406,150/3,385,404 = 3,385,404/x
  3. Step 3: Cross multiply
    2,406,150x = 3,385,404 × 3,385,404
  4. Step 4: Simplify right side
    2,406,150x = 11,460,960,243,216
  5. Step 5: Solve for x
    x = 11,460,960,243,216/2,406,150
  6. Step 6: Final answer
    x = 4,763,194.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.