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Finding the Third Proportional to 655,008 and 1,420,608

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Solution

The third proportional to 655,008 and 1,420,608 is: 3,081,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,008 : 1,420,608 = 1,420,608 : x
  2. Step 2: Convert to fraction form
    655,008/1,420,608 = 1,420,608/x
  3. Step 3: Cross multiply
    655,008x = 1,420,608 × 1,420,608
  4. Step 4: Simplify right side
    655,008x = 2,018,127,089,664
  5. Step 5: Solve for x
    x = 2,018,127,089,664/655,008
  6. Step 6: Final answer
    x = 3,081,072.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.