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Finding the Third Proportional to 570,110 and 1,228,592

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Solution

The third proportional to 570,110 and 1,228,592 is: 2,647,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,110 : 1,228,592 = 1,228,592 : x
  2. Step 2: Convert to fraction form
    570,110/1,228,592 = 1,228,592/x
  3. Step 3: Cross multiply
    570,110x = 1,228,592 × 1,228,592
  4. Step 4: Simplify right side
    570,110x = 1,509,438,302,464
  5. Step 5: Solve for x
    x = 1,509,438,302,464/570,110
  6. Step 6: Final answer
    x = 2,647,626.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.