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Finding the Third Proportional to 668,435 and 1,443,406

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Solution

The third proportional to 668,435 and 1,443,406 is: 3,116,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,435 : 1,443,406 = 1,443,406 : x
  2. Step 2: Convert to fraction form
    668,435/1,443,406 = 1,443,406/x
  3. Step 3: Cross multiply
    668,435x = 1,443,406 × 1,443,406
  4. Step 4: Simplify right side
    668,435x = 2,083,420,880,836
  5. Step 5: Solve for x
    x = 2,083,420,880,836/668,435
  6. Step 6: Final answer
    x = 3,116,863.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.