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Finding the Third Proportional to 1,296,338 and 1,962,416

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Solution

The third proportional to 1,296,338 and 1,962,416 is: 2,970,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,338 : 1,962,416 = 1,962,416 : x
  2. Step 2: Convert to fraction form
    1,296,338/1,962,416 = 1,962,416/x
  3. Step 3: Cross multiply
    1,296,338x = 1,962,416 × 1,962,416
  4. Step 4: Simplify right side
    1,296,338x = 3,851,076,557,056
  5. Step 5: Solve for x
    x = 3,851,076,557,056/1,296,338
  6. Step 6: Final answer
    x = 2,970,734.91

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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.