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Finding the Third Proportional to 570,771 and 1,236,645

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Solution

The third proportional to 570,771 and 1,236,645 is: 2,679,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,771 : 1,236,645 = 1,236,645 : x
  2. Step 2: Convert to fraction form
    570,771/1,236,645 = 1,236,645/x
  3. Step 3: Cross multiply
    570,771x = 1,236,645 × 1,236,645
  4. Step 4: Simplify right side
    570,771x = 1,529,290,856,025
  5. Step 5: Solve for x
    x = 1,529,290,856,025/570,771
  6. Step 6: Final answer
    x = 2,679,342.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.