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Finding the Third Proportional to 444,690 and 977,943.38

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Solution

The third proportional to 444,690 and 977,943.38 is: 2,150,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,690 : 977,943.38 = 977,943.38 : x
  2. Step 2: Convert to fraction form
    444,690/977,943.38 = 977,943.38/x
  3. Step 3: Cross multiply
    444,690x = 977,943.38 × 977,943.38
  4. Step 4: Simplify right side
    444,690x = 956,373,244,706.39
  5. Step 5: Solve for x
    x = 956,373,244,706.39/444,690
  6. Step 6: Final answer
    x = 2,150,651.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.