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Finding the Third Proportional to 929,824 and 1,964,096

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Solution

The third proportional to 929,824 and 1,964,096 is: 4,148,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,824 : 1,964,096 = 1,964,096 : x
  2. Step 2: Convert to fraction form
    929,824/1,964,096 = 1,964,096/x
  3. Step 3: Cross multiply
    929,824x = 1,964,096 × 1,964,096
  4. Step 4: Simplify right side
    929,824x = 3,857,673,097,216
  5. Step 5: Solve for x
    x = 3,857,673,097,216/929,824
  6. Step 6: Final answer
    x = 4,148,820.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.