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Finding the Third Proportional to 443,830 and 970,695

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Solution

The third proportional to 443,830 and 970,695 is: 2,122,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,830 : 970,695 = 970,695 : x
  2. Step 2: Convert to fraction form
    443,830/970,695 = 970,695/x
  3. Step 3: Cross multiply
    443,830x = 970,695 × 970,695
  4. Step 4: Simplify right side
    443,830x = 942,248,783,025
  5. Step 5: Solve for x
    x = 942,248,783,025/443,830
  6. Step 6: Final answer
    x = 2,122,994.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.