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Finding the Third Proportional to 948,721.36 and 1,467,423.84

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Solution

The third proportional to 948,721.36 and 1,467,423.84 is: 2,269,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,721.36 : 1,467,423.84 = 1,467,423.84 : x
  2. Step 2: Convert to fraction form
    948,721.36/1,467,423.84 = 1,467,423.84/x
  3. Step 3: Cross multiply
    948,721.36x = 1,467,423.84 × 1,467,423.84
  4. Step 4: Simplify right side
    948,721.36x = 2,153,332,737,206.02
  5. Step 5: Solve for x
    x = 2,153,332,737,206.02/948,721.36
  6. Step 6: Final answer
    x = 2,269,720.94

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