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Finding the Third Proportional to 447,943 and 970,603

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Solution

The third proportional to 447,943 and 970,603 is: 2,103,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,943 : 970,603 = 970,603 : x
  2. Step 2: Convert to fraction form
    447,943/970,603 = 970,603/x
  3. Step 3: Cross multiply
    447,943x = 970,603 × 970,603
  4. Step 4: Simplify right side
    447,943x = 942,070,183,609
  5. Step 5: Solve for x
    x = 942,070,183,609/447,943
  6. Step 6: Final answer
    x = 2,103,102.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.