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Finding the Third Proportional to 460,244 and 952,443

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Solution

The third proportional to 460,244 and 952,443 is: 1,971,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,244 : 952,443 = 952,443 : x
  2. Step 2: Convert to fraction form
    460,244/952,443 = 952,443/x
  3. Step 3: Cross multiply
    460,244x = 952,443 × 952,443
  4. Step 4: Simplify right side
    460,244x = 907,147,668,249
  5. Step 5: Solve for x
    x = 907,147,668,249/460,244
  6. Step 6: Final answer
    x = 1,971,014.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.