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Finding the Third Proportional to 1,970,540 and 2,969,904

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Solution

The third proportional to 1,970,540 and 2,969,904 is: 4,476,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,540 : 2,969,904 = 2,969,904 : x
  2. Step 2: Convert to fraction form
    1,970,540/2,969,904 = 2,969,904/x
  3. Step 3: Cross multiply
    1,970,540x = 2,969,904 × 2,969,904
  4. Step 4: Simplify right side
    1,970,540x = 8,820,329,769,216
  5. Step 5: Solve for x
    x = 8,820,329,769,216/1,970,540
  6. Step 6: Final answer
    x = 4,476,097.81

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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.