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Finding the Third Proportional to 1,066,014 and 1,408,509

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Solution

The third proportional to 1,066,014 and 1,408,509 is: 1,861,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066,014 : 1,408,509 = 1,408,509 : x
  2. Step 2: Convert to fraction form
    1,066,014/1,408,509 = 1,408,509/x
  3. Step 3: Cross multiply
    1,066,014x = 1,408,509 × 1,408,509
  4. Step 4: Simplify right side
    1,066,014x = 1,983,897,603,081
  5. Step 5: Solve for x
    x = 1,983,897,603,081/1,066,014
  6. Step 6: Final answer
    x = 1,861,042.73

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.