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Finding the Third Proportional to 632,340 and 1,492,668

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Solution

The third proportional to 632,340 and 1,492,668 is: 3,523,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,340 : 1,492,668 = 1,492,668 : x
  2. Step 2: Convert to fraction form
    632,340/1,492,668 = 1,492,668/x
  3. Step 3: Cross multiply
    632,340x = 1,492,668 × 1,492,668
  4. Step 4: Simplify right side
    632,340x = 2,228,057,758,224
  5. Step 5: Solve for x
    x = 2,228,057,758,224/632,340
  6. Step 6: Final answer
    x = 3,523,512.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.