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Finding the Third Proportional to 567,969 and 1,211,714

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Solution

The third proportional to 567,969 and 1,211,714 is: 2,585,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,969 : 1,211,714 = 1,211,714 : x
  2. Step 2: Convert to fraction form
    567,969/1,211,714 = 1,211,714/x
  3. Step 3: Cross multiply
    567,969x = 1,211,714 × 1,211,714
  4. Step 4: Simplify right side
    567,969x = 1,468,250,817,796
  5. Step 5: Solve for x
    x = 1,468,250,817,796/567,969
  6. Step 6: Final answer
    x = 2,585,089.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.