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Finding the Third Proportional to 946,401 and 1,430,892

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Solution

The third proportional to 946,401 and 1,430,892 is: 2,163,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,401 : 1,430,892 = 1,430,892 : x
  2. Step 2: Convert to fraction form
    946,401/1,430,892 = 1,430,892/x
  3. Step 3: Cross multiply
    946,401x = 1,430,892 × 1,430,892
  4. Step 4: Simplify right side
    946,401x = 2,047,451,915,664
  5. Step 5: Solve for x
    x = 2,047,451,915,664/946,401
  6. Step 6: Final answer
    x = 2,163,408.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.