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Finding the Third Proportional to 619,467 and 946,972.50

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Solution

The third proportional to 619,467 and 946,972.50 is: 1,447,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,467 : 946,972.50 = 946,972.50 : x
  2. Step 2: Convert to fraction form
    619,467/946,972.50 = 946,972.50/x
  3. Step 3: Cross multiply
    619,467x = 946,972.50 × 946,972.50
  4. Step 4: Simplify right side
    619,467x = 896,756,915,756.25
  5. Step 5: Solve for x
    x = 896,756,915,756.25/619,467
  6. Step 6: Final answer
    x = 1,447,626.61

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