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Finding the Third Proportional to 648,285,858 and 1,419,521,931

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Solution

The third proportional to 648,285,858 and 1,419,521,931 is: 3,108,262,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,285,858 : 1,419,521,931 = 1,419,521,931 : x
  2. Step 2: Convert to fraction form
    648,285,858/1,419,521,931 = 1,419,521,931/x
  3. Step 3: Cross multiply
    648,285,858x = 1,419,521,931 × 1,419,521,931
  4. Step 4: Simplify right side
    648,285,858x = 2,015,042,512,589,968,640
  5. Step 5: Solve for x
    x = 2,015,042,512,589,968,640/648,285,858
  6. Step 6: Final answer
    x = 3,108,262,331.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.