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Finding the Third Proportional to 622,272 and 1,213,440

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Solution

The third proportional to 622,272 and 1,213,440 is: 2,366,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,272 : 1,213,440 = 1,213,440 : x
  2. Step 2: Convert to fraction form
    622,272/1,213,440 = 1,213,440/x
  3. Step 3: Cross multiply
    622,272x = 1,213,440 × 1,213,440
  4. Step 4: Simplify right side
    622,272x = 1,472,436,633,600
  5. Step 5: Solve for x
    x = 1,472,436,633,600/622,272
  6. Step 6: Final answer
    x = 2,366,226.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.