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Finding the Third Proportional to 1,057,560 and 2,186,256

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Solution

The third proportional to 1,057,560 and 2,186,256 is: 4,519,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,560 : 2,186,256 = 2,186,256 : x
  2. Step 2: Convert to fraction form
    1,057,560/2,186,256 = 2,186,256/x
  3. Step 3: Cross multiply
    1,057,560x = 2,186,256 × 2,186,256
  4. Step 4: Simplify right side
    1,057,560x = 4,779,715,297,536
  5. Step 5: Solve for x
    x = 4,779,715,297,536/1,057,560
  6. Step 6: Final answer
    x = 4,519,568.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.