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Finding the Third Proportional to 609,912 and 948,084

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Solution

The third proportional to 609,912 and 948,084 is: 1,473,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,912 : 948,084 = 948,084 : x
  2. Step 2: Convert to fraction form
    609,912/948,084 = 948,084/x
  3. Step 3: Cross multiply
    609,912x = 948,084 × 948,084
  4. Step 4: Simplify right side
    609,912x = 898,863,271,056
  5. Step 5: Solve for x
    x = 898,863,271,056/609,912
  6. Step 6: Final answer
    x = 1,473,758.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.