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Finding the Third Proportional to 663,816 and 1,424,408

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Solution

The third proportional to 663,816 and 1,424,408 is: 3,056,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,816 : 1,424,408 = 1,424,408 : x
  2. Step 2: Convert to fraction form
    663,816/1,424,408 = 1,424,408/x
  3. Step 3: Cross multiply
    663,816x = 1,424,408 × 1,424,408
  4. Step 4: Simplify right side
    663,816x = 2,028,938,150,464
  5. Step 5: Solve for x
    x = 2,028,938,150,464/663,816
  6. Step 6: Final answer
    x = 3,056,476.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.