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Finding the Third Proportional to 1,546,902 and 3,330,770

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Solution

The third proportional to 1,546,902 and 3,330,770 is: 7,171,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,902 : 3,330,770 = 3,330,770 : x
  2. Step 2: Convert to fraction form
    1,546,902/3,330,770 = 3,330,770/x
  3. Step 3: Cross multiply
    1,546,902x = 3,330,770 × 3,330,770
  4. Step 4: Simplify right side
    1,546,902x = 11,094,028,792,900
  5. Step 5: Solve for x
    x = 11,094,028,792,900/1,546,902
  6. Step 6: Final answer
    x = 7,171,772.22

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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.