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Finding the Third Proportional to 443,875 and 970,793

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Solution

The third proportional to 443,875 and 970,793 is: 2,123,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,875 : 970,793 = 970,793 : x
  2. Step 2: Convert to fraction form
    443,875/970,793 = 970,793/x
  3. Step 3: Cross multiply
    443,875x = 970,793 × 970,793
  4. Step 4: Simplify right side
    443,875x = 942,439,048,849
  5. Step 5: Solve for x
    x = 942,439,048,849/443,875
  6. Step 6: Final answer
    x = 2,123,208.22

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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.