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Finding the Third Proportional to 539,104,374 and 770,392,626

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Solution

The third proportional to 539,104,374 and 770,392,626 is: 1,100,908,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,104,374 : 770,392,626 = 770,392,626 : x
  2. Step 2: Convert to fraction form
    539,104,374/770,392,626 = 770,392,626/x
  3. Step 3: Cross multiply
    539,104,374x = 770,392,626 × 770,392,626
  4. Step 4: Simplify right side
    539,104,374x = 593,504,798,195,175,936
  5. Step 5: Solve for x
    x = 593,504,798,195,175,936/539,104,374
  6. Step 6: Final answer
    x = 1,100,908,890.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.