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Finding the Third Proportional to 3,909,766 and 6,892,190

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Solution

The third proportional to 3,909,766 and 6,892,190 is: 12,149,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909,766 : 6,892,190 = 6,892,190 : x
  2. Step 2: Convert to fraction form
    3,909,766/6,892,190 = 6,892,190/x
  3. Step 3: Cross multiply
    3,909,766x = 6,892,190 × 6,892,190
  4. Step 4: Simplify right side
    3,909,766x = 47,502,282,996,100
  5. Step 5: Solve for x
    x = 47,502,282,996,100/3,909,766
  6. Step 6: Final answer
    x = 12,149,648.60

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.