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Finding the Third Proportional to 570,057 and 1,238,679

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Solution

The third proportional to 570,057 and 1,238,679 is: 2,691,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,057 : 1,238,679 = 1,238,679 : x
  2. Step 2: Convert to fraction form
    570,057/1,238,679 = 1,238,679/x
  3. Step 3: Cross multiply
    570,057x = 1,238,679 × 1,238,679
  4. Step 4: Simplify right side
    570,057x = 1,534,325,665,041
  5. Step 5: Solve for x
    x = 1,534,325,665,041/570,057
  6. Step 6: Final answer
    x = 2,691,530.26

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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.