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Finding the Third Proportional to 813,728 and 1,183,656

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Solution

The third proportional to 813,728 and 1,183,656 is: 1,721,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,728 : 1,183,656 = 1,183,656 : x
  2. Step 2: Convert to fraction form
    813,728/1,183,656 = 1,183,656/x
  3. Step 3: Cross multiply
    813,728x = 1,183,656 × 1,183,656
  4. Step 4: Simplify right side
    813,728x = 1,401,041,526,336
  5. Step 5: Solve for x
    x = 1,401,041,526,336/813,728
  6. Step 6: Final answer
    x = 1,721,756.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.