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Finding the Third Proportional to 494,223,380 and 1,083,397,551

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Solution

The third proportional to 494,223,380 and 1,083,397,551 is: 2,374,938,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,223,380 : 1,083,397,551 = 1,083,397,551 : x
  2. Step 2: Convert to fraction form
    494,223,380/1,083,397,551 = 1,083,397,551/x
  3. Step 3: Cross multiply
    494,223,380x = 1,083,397,551 × 1,083,397,551
  4. Step 4: Simplify right side
    494,223,380x = 1,173,750,253,512,797,696
  5. Step 5: Solve for x
    x = 1,173,750,253,512,797,696/494,223,380
  6. Step 6: Final answer
    x = 2,374,938,744.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.