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Finding the Third Proportional to 858,640.50 and 1,261,706.63

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Solution

The third proportional to 858,640.50 and 1,261,706.63 is: 1,853,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,640.50 : 1,261,706.63 = 1,261,706.63 : x
  2. Step 2: Convert to fraction form
    858,640.50/1,261,706.63 = 1,261,706.63/x
  3. Step 3: Cross multiply
    858,640.50x = 1,261,706.63 × 1,261,706.63
  4. Step 4: Simplify right side
    858,640.50x = 1,591,903,607,568.89
  5. Step 5: Solve for x
    x = 1,591,903,607,568.89/858,640.50
  6. Step 6: Final answer
    x = 1,853,981.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.