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Finding the Third Proportional to 619,202 and 946,539

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Solution

The third proportional to 619,202 and 946,539 is: 1,446,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,202 : 946,539 = 946,539 : x
  2. Step 2: Convert to fraction form
    619,202/946,539 = 946,539/x
  3. Step 3: Cross multiply
    619,202x = 946,539 × 946,539
  4. Step 4: Simplify right side
    619,202x = 895,936,078,521
  5. Step 5: Solve for x
    x = 895,936,078,521/619,202
  6. Step 6: Final answer
    x = 1,446,920.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.