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Finding the Third Proportional to 1,540,676 and 3,435,403

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Solution

The third proportional to 1,540,676 and 3,435,403 is: 7,660,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,676 : 3,435,403 = 3,435,403 : x
  2. Step 2: Convert to fraction form
    1,540,676/3,435,403 = 3,435,403/x
  3. Step 3: Cross multiply
    1,540,676x = 3,435,403 × 3,435,403
  4. Step 4: Simplify right side
    1,540,676x = 11,801,993,772,409
  5. Step 5: Solve for x
    x = 11,801,993,772,409/1,540,676
  6. Step 6: Final answer
    x = 7,660,269.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.