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Finding the Third Proportional to 682,328,786 and 975,065,615

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Solution

The third proportional to 682,328,786 and 975,065,615 is: 1,393,394,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,328,786 : 975,065,615 = 975,065,615 : x
  2. Step 2: Convert to fraction form
    682,328,786/975,065,615 = 975,065,615/x
  3. Step 3: Cross multiply
    682,328,786x = 975,065,615 × 975,065,615
  4. Step 4: Simplify right side
    682,328,786x = 950,752,953,555,328,256
  5. Step 5: Solve for x
    x = 950,752,953,555,328,256/682,328,786
  6. Step 6: Final answer
    x = 1,393,394,171.64

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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.