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Finding the Third Proportional to 746,344.13 and 1,183,640.34

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Solution

The third proportional to 746,344.13 and 1,183,640.34 is: 1,877,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,344.13 : 1,183,640.34 = 1,183,640.34 : x
  2. Step 2: Convert to fraction form
    746,344.13/1,183,640.34 = 1,183,640.34/x
  3. Step 3: Cross multiply
    746,344.13x = 1,183,640.34 × 1,183,640.34
  4. Step 4: Simplify right side
    746,344.13x = 1,401,004,463,352.62
  5. Step 5: Solve for x
    x = 1,401,004,463,352.62/746,344.13
  6. Step 6: Final answer
    x = 1,877,156.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.