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Finding the Third Proportional to 702,395,738 and 1,512,673,972

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Solution

The third proportional to 702,395,738 and 1,512,673,972 is: 3,257,682,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,395,738 : 1,512,673,972 = 1,512,673,972 : x
  2. Step 2: Convert to fraction form
    702,395,738/1,512,673,972 = 1,512,673,972/x
  3. Step 3: Cross multiply
    702,395,738x = 1,512,673,972 × 1,512,673,972
  4. Step 4: Simplify right side
    702,395,738x = 2,288,182,545,566,256,896
  5. Step 5: Solve for x
    x = 2,288,182,545,566,256,896/702,395,738
  6. Step 6: Final answer
    x = 3,257,682,844.26

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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.