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Finding the Third Proportional to 471,096 and 1,046,679

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Solution

The third proportional to 471,096 and 1,046,679 is: 2,325,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,096 : 1,046,679 = 1,046,679 : x
  2. Step 2: Convert to fraction form
    471,096/1,046,679 = 1,046,679/x
  3. Step 3: Cross multiply
    471,096x = 1,046,679 × 1,046,679
  4. Step 4: Simplify right side
    471,096x = 1,095,536,929,041
  5. Step 5: Solve for x
    x = 1,095,536,929,041/471,096
  6. Step 6: Final answer
    x = 2,325,506.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.