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Finding the Third Proportional to 675,274 and 1,440,946

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Solution

The third proportional to 675,274 and 1,440,946 is: 3,074,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,274 : 1,440,946 = 1,440,946 : x
  2. Step 2: Convert to fraction form
    675,274/1,440,946 = 1,440,946/x
  3. Step 3: Cross multiply
    675,274x = 1,440,946 × 1,440,946
  4. Step 4: Simplify right side
    675,274x = 2,076,325,374,916
  5. Step 5: Solve for x
    x = 2,076,325,374,916/675,274
  6. Step 6: Final answer
    x = 3,074,789.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.