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Finding the Third Proportional to 325,593,768 and 698,452,786

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Solution

The third proportional to 325,593,768 and 698,452,786 is: 1,498,297,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,593,768 : 698,452,786 = 698,452,786 : x
  2. Step 2: Convert to fraction form
    325,593,768/698,452,786 = 698,452,786/x
  3. Step 3: Cross multiply
    325,593,768x = 698,452,786 × 698,452,786
  4. Step 4: Simplify right side
    325,593,768x = 487,836,294,271,161,792
  5. Step 5: Solve for x
    x = 487,836,294,271,161,792/325,593,768
  6. Step 6: Final answer
    x = 1,498,297,394.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.