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Finding the Third Proportional to 3,814,500 and 5,346,009

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Solution

The third proportional to 3,814,500 and 5,346,009 is: 7,492,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,500 : 5,346,009 = 5,346,009 : x
  2. Step 2: Convert to fraction form
    3,814,500/5,346,009 = 5,346,009/x
  3. Step 3: Cross multiply
    3,814,500x = 5,346,009 × 5,346,009
  4. Step 4: Simplify right side
    3,814,500x = 28,579,812,228,081
  5. Step 5: Solve for x
    x = 28,579,812,228,081/3,814,500
  6. Step 6: Final answer
    x = 7,492,413.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.