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Finding the Third Proportional to 2,265,463 and 3,431,099

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Solution

The third proportional to 2,265,463 and 3,431,099 is: 5,196,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,463 : 3,431,099 = 3,431,099 : x
  2. Step 2: Convert to fraction form
    2,265,463/3,431,099 = 3,431,099/x
  3. Step 3: Cross multiply
    2,265,463x = 3,431,099 × 3,431,099
  4. Step 4: Simplify right side
    2,265,463x = 11,772,440,347,801
  5. Step 5: Solve for x
    x = 11,772,440,347,801/2,265,463
  6. Step 6: Final answer
    x = 5,196,483.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.