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Finding the Third Proportional to 1,909,760 and 2,584,512

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Solution

The third proportional to 1,909,760 and 2,584,512 is: 3,497,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,760 : 2,584,512 = 2,584,512 : x
  2. Step 2: Convert to fraction form
    1,909,760/2,584,512 = 2,584,512/x
  3. Step 3: Cross multiply
    1,909,760x = 2,584,512 × 2,584,512
  4. Step 4: Simplify right side
    1,909,760x = 6,679,702,278,144
  5. Step 5: Solve for x
    x = 6,679,702,278,144/1,909,760
  6. Step 6: Final answer
    x = 3,497,665.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.