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Finding the Third Proportional to 652,648 and 919,084

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Solution

The third proportional to 652,648 and 919,084 is: 1,294,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,648 : 919,084 = 919,084 : x
  2. Step 2: Convert to fraction form
    652,648/919,084 = 919,084/x
  3. Step 3: Cross multiply
    652,648x = 919,084 × 919,084
  4. Step 4: Simplify right side
    652,648x = 844,715,399,056
  5. Step 5: Solve for x
    x = 844,715,399,056/652,648
  6. Step 6: Final answer
    x = 1,294,289.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.