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Finding the Third Proportional to 619,148 and 855,523

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Solution

The third proportional to 619,148 and 855,523 is: 1,182,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,148 : 855,523 = 855,523 : x
  2. Step 2: Convert to fraction form
    619,148/855,523 = 855,523/x
  3. Step 3: Cross multiply
    619,148x = 855,523 × 855,523
  4. Step 4: Simplify right side
    619,148x = 731,919,603,529
  5. Step 5: Solve for x
    x = 731,919,603,529/619,148
  6. Step 6: Final answer
    x = 1,182,139.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.