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Finding the Third Proportional to 674,921 and 949,360

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Solution

The third proportional to 674,921 and 949,360 is: 1,335,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,921 : 949,360 = 949,360 : x
  2. Step 2: Convert to fraction form
    674,921/949,360 = 949,360/x
  3. Step 3: Cross multiply
    674,921x = 949,360 × 949,360
  4. Step 4: Simplify right side
    674,921x = 901,284,409,600
  5. Step 5: Solve for x
    x = 901,284,409,600/674,921
  6. Step 6: Final answer
    x = 1,335,392.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.