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Finding the Third Proportional to 2,077,442 and 3,191,206

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Solution

The third proportional to 2,077,442 and 3,191,206 is: 4,902,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,442 : 3,191,206 = 3,191,206 : x
  2. Step 2: Convert to fraction form
    2,077,442/3,191,206 = 3,191,206/x
  3. Step 3: Cross multiply
    2,077,442x = 3,191,206 × 3,191,206
  4. Step 4: Simplify right side
    2,077,442x = 10,183,795,734,436
  5. Step 5: Solve for x
    x = 10,183,795,734,436/2,077,442
  6. Step 6: Final answer
    x = 4,902,084.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.