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Finding the Third Proportional to 2,046,353 and 3,410,381

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Solution

The third proportional to 2,046,353 and 3,410,381 is: 5,683,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,353 : 3,410,381 = 3,410,381 : x
  2. Step 2: Convert to fraction form
    2,046,353/3,410,381 = 3,410,381/x
  3. Step 3: Cross multiply
    2,046,353x = 3,410,381 × 3,410,381
  4. Step 4: Simplify right side
    2,046,353x = 11,630,698,565,161
  5. Step 5: Solve for x
    x = 11,630,698,565,161/2,046,353
  6. Step 6: Final answer
    x = 5,683,622.80

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.