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Finding the Third Proportional to 1,665,096 and 3,566,394

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Solution

The third proportional to 1,665,096 and 3,566,394 is: 7,638,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,096 : 3,566,394 = 3,566,394 : x
  2. Step 2: Convert to fraction form
    1,665,096/3,566,394 = 3,566,394/x
  3. Step 3: Cross multiply
    1,665,096x = 3,566,394 × 3,566,394
  4. Step 4: Simplify right side
    1,665,096x = 12,719,166,163,236
  5. Step 5: Solve for x
    x = 12,719,166,163,236/1,665,096
  6. Step 6: Final answer
    x = 7,638,698.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.