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Finding the Third Proportional to 393,397,441 and 857,990,641

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Solution

The third proportional to 393,397,441 and 857,990,641 is: 1,871,257,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,397,441 : 857,990,641 = 857,990,641 : x
  2. Step 2: Convert to fraction form
    393,397,441/857,990,641 = 857,990,641/x
  3. Step 3: Cross multiply
    393,397,441x = 857,990,641 × 857,990,641
  4. Step 4: Simplify right side
    393,397,441x = 736,147,940,043,590,912
  5. Step 5: Solve for x
    x = 736,147,940,043,590,912/393,397,441
  6. Step 6: Final answer
    x = 1,871,257,571.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.