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Finding the Third Proportional to 2,149,696 and 3,213,312

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Solution

The third proportional to 2,149,696 and 3,213,312 is: 4,803,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149,696 : 3,213,312 = 3,213,312 : x
  2. Step 2: Convert to fraction form
    2,149,696/3,213,312 = 3,213,312/x
  3. Step 3: Cross multiply
    2,149,696x = 3,213,312 × 3,213,312
  4. Step 4: Simplify right side
    2,149,696x = 10,325,374,009,344
  5. Step 5: Solve for x
    x = 10,325,374,009,344/2,149,696
  6. Step 6: Final answer
    x = 4,803,178.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.