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Finding the Third Proportional to 3,097,512 and 4,692,960

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Solution

The third proportional to 3,097,512 and 4,692,960 is: 7,110,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,512 : 4,692,960 = 4,692,960 : x
  2. Step 2: Convert to fraction form
    3,097,512/4,692,960 = 4,692,960/x
  3. Step 3: Cross multiply
    3,097,512x = 4,692,960 × 4,692,960
  4. Step 4: Simplify right side
    3,097,512x = 22,023,873,561,600
  5. Step 5: Solve for x
    x = 22,023,873,561,600/3,097,512
  6. Step 6: Final answer
    x = 7,110,181.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.