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Finding the Third Proportional to 2,116,374 and 3,193,641

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Solution

The third proportional to 2,116,374 and 3,193,641 is: 4,819,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,374 : 3,193,641 = 3,193,641 : x
  2. Step 2: Convert to fraction form
    2,116,374/3,193,641 = 3,193,641/x
  3. Step 3: Cross multiply
    2,116,374x = 3,193,641 × 3,193,641
  4. Step 4: Simplify right side
    2,116,374x = 10,199,342,836,881
  5. Step 5: Solve for x
    x = 10,199,342,836,881/2,116,374
  6. Step 6: Final answer
    x = 4,819,253.51

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Why These Related Problems?

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