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Finding the Third Proportional to 946,471 and 1,328,059

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Solution

The third proportional to 946,471 and 1,328,059 is: 1,863,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,471 : 1,328,059 = 1,328,059 : x
  2. Step 2: Convert to fraction form
    946,471/1,328,059 = 1,328,059/x
  3. Step 3: Cross multiply
    946,471x = 1,328,059 × 1,328,059
  4. Step 4: Simplify right side
    946,471x = 1,763,740,707,481
  5. Step 5: Solve for x
    x = 1,763,740,707,481/946,471
  6. Step 6: Final answer
    x = 1,863,491.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.