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Finding the Third Proportional to 1,954,102 and 4,305,752

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Solution

The third proportional to 1,954,102 and 4,305,752 is: 9,487,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,102 : 4,305,752 = 4,305,752 : x
  2. Step 2: Convert to fraction form
    1,954,102/4,305,752 = 4,305,752/x
  3. Step 3: Cross multiply
    1,954,102x = 4,305,752 × 4,305,752
  4. Step 4: Simplify right side
    1,954,102x = 18,539,500,285,504
  5. Step 5: Solve for x
    x = 18,539,500,285,504/1,954,102
  6. Step 6: Final answer
    x = 9,487,478.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.