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Finding the Third Proportional to 611,512 and 1,438,848

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Solution

The third proportional to 611,512 and 1,438,848 is: 3,385,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,512 : 1,438,848 = 1,438,848 : x
  2. Step 2: Convert to fraction form
    611,512/1,438,848 = 1,438,848/x
  3. Step 3: Cross multiply
    611,512x = 1,438,848 × 1,438,848
  4. Step 4: Simplify right side
    611,512x = 2,070,283,567,104
  5. Step 5: Solve for x
    x = 2,070,283,567,104/611,512
  6. Step 6: Final answer
    x = 3,385,515.85

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.