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Finding the Third Proportional to 675,261 and 1,440,917

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Solution

The third proportional to 675,261 and 1,440,917 is: 3,074,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,261 : 1,440,917 = 1,440,917 : x
  2. Step 2: Convert to fraction form
    675,261/1,440,917 = 1,440,917/x
  3. Step 3: Cross multiply
    675,261x = 1,440,917 × 1,440,917
  4. Step 4: Simplify right side
    675,261x = 2,076,241,800,889
  5. Step 5: Solve for x
    x = 2,076,241,800,889/675,261
  6. Step 6: Final answer
    x = 3,074,724.89

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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.