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Finding the Third Proportional to 494,223,381 and 1,083,397,554

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Solution

The third proportional to 494,223,381 and 1,083,397,554 is: 2,374,938,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,223,381 : 1,083,397,554 = 1,083,397,554 : x
  2. Step 2: Convert to fraction form
    494,223,381/1,083,397,554 = 1,083,397,554/x
  3. Step 3: Cross multiply
    494,223,381x = 1,083,397,554 × 1,083,397,554
  4. Step 4: Simplify right side
    494,223,381x = 1,173,750,260,013,182,976
  5. Step 5: Solve for x
    x = 1,173,750,260,013,182,976/494,223,381
  6. Step 6: Final answer
    x = 2,374,938,752.67

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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.