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Finding the Third Proportional to 640,766,738 and 962,856,246

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Solution

The third proportional to 640,766,738 and 962,856,246 is: 1,446,848,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,766,738 : 962,856,246 = 962,856,246 : x
  2. Step 2: Convert to fraction form
    640,766,738/962,856,246 = 962,856,246/x
  3. Step 3: Cross multiply
    640,766,738x = 962,856,246 × 962,856,246
  4. Step 4: Simplify right side
    640,766,738x = 927,092,150,461,212,544
  5. Step 5: Solve for x
    x = 927,092,150,461,212,544/640,766,738
  6. Step 6: Final answer
    x = 1,446,848,120.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.