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Finding the Third Proportional to 622,672 and 949,560

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Solution

The third proportional to 622,672 and 949,560 is: 1,448,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,672 : 949,560 = 949,560 : x
  2. Step 2: Convert to fraction form
    622,672/949,560 = 949,560/x
  3. Step 3: Cross multiply
    622,672x = 949,560 × 949,560
  4. Step 4: Simplify right side
    622,672x = 901,664,193,600
  5. Step 5: Solve for x
    x = 901,664,193,600/622,672
  6. Step 6: Final answer
    x = 1,448,056.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.