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Finding the Third Proportional to 1,264,256 and 1,920,960

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Solution

The third proportional to 1,264,256 and 1,920,960 is: 2,918,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,256 : 1,920,960 = 1,920,960 : x
  2. Step 2: Convert to fraction form
    1,264,256/1,920,960 = 1,920,960/x
  3. Step 3: Cross multiply
    1,264,256x = 1,920,960 × 1,920,960
  4. Step 4: Simplify right side
    1,264,256x = 3,690,087,321,600
  5. Step 5: Solve for x
    x = 3,690,087,321,600/1,264,256
  6. Step 6: Final answer
    x = 2,918,781.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.