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Finding the Third Proportional to 645,408 and 1,399,680

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Solution

The third proportional to 645,408 and 1,399,680 is: 3,035,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,408 : 1,399,680 = 1,399,680 : x
  2. Step 2: Convert to fraction form
    645,408/1,399,680 = 1,399,680/x
  3. Step 3: Cross multiply
    645,408x = 1,399,680 × 1,399,680
  4. Step 4: Simplify right side
    645,408x = 1,959,104,102,400
  5. Step 5: Solve for x
    x = 1,959,104,102,400/645,408
  6. Step 6: Final answer
    x = 3,035,450.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.