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Finding the Third Proportional to 443,620 and 975,824

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Solution

The third proportional to 443,620 and 975,824 is: 2,146,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,620 : 975,824 = 975,824 : x
  2. Step 2: Convert to fraction form
    443,620/975,824 = 975,824/x
  3. Step 3: Cross multiply
    443,620x = 975,824 × 975,824
  4. Step 4: Simplify right side
    443,620x = 952,232,478,976
  5. Step 5: Solve for x
    x = 952,232,478,976/443,620
  6. Step 6: Final answer
    x = 2,146,504.84

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