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Finding the Third Proportional to 2,149,827 and 3,107,736

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Solution

The third proportional to 2,149,827 and 3,107,736 is: 4,492,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149,827 : 3,107,736 = 3,107,736 : x
  2. Step 2: Convert to fraction form
    2,149,827/3,107,736 = 3,107,736/x
  3. Step 3: Cross multiply
    2,149,827x = 3,107,736 × 3,107,736
  4. Step 4: Simplify right side
    2,149,827x = 9,658,023,045,696
  5. Step 5: Solve for x
    x = 9,658,023,045,696/2,149,827
  6. Step 6: Final answer
    x = 4,492,465.23

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.