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Finding the Third Proportional to 3,781,266 and 5,658,696

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Solution

The third proportional to 3,781,266 and 5,658,696 is: 8,468,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,266 : 5,658,696 = 5,658,696 : x
  2. Step 2: Convert to fraction form
    3,781,266/5,658,696 = 5,658,696/x
  3. Step 3: Cross multiply
    3,781,266x = 5,658,696 × 5,658,696
  4. Step 4: Simplify right side
    3,781,266x = 32,020,840,420,416
  5. Step 5: Solve for x
    x = 32,020,840,420,416/3,781,266
  6. Step 6: Final answer
    x = 8,468,285.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.