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Finding the Third Proportional to 1,970,497 and 2,969,839

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Solution

The third proportional to 1,970,497 and 2,969,839 is: 4,475,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,497 : 2,969,839 = 2,969,839 : x
  2. Step 2: Convert to fraction form
    1,970,497/2,969,839 = 2,969,839/x
  3. Step 3: Cross multiply
    1,970,497x = 2,969,839 × 2,969,839
  4. Step 4: Simplify right side
    1,970,497x = 8,819,943,685,921
  5. Step 5: Solve for x
    x = 8,819,943,685,921/1,970,497
  6. Step 6: Final answer
    x = 4,475,999.55

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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.