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Finding the Third Proportional to 1,297,920 and 2,000,256

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Solution

The third proportional to 1,297,920 and 2,000,256 is: 3,082,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,920 : 2,000,256 = 2,000,256 : x
  2. Step 2: Convert to fraction form
    1,297,920/2,000,256 = 2,000,256/x
  3. Step 3: Cross multiply
    1,297,920x = 2,000,256 × 2,000,256
  4. Step 4: Simplify right side
    1,297,920x = 4,001,024,065,536
  5. Step 5: Solve for x
    x = 4,001,024,065,536/1,297,920
  6. Step 6: Final answer
    x = 3,082,643.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.