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Finding the Third Proportional to 1,606,869 and 3,346,902

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Solution

The third proportional to 1,606,869 and 3,346,902 is: 6,971,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,869 : 3,346,902 = 3,346,902 : x
  2. Step 2: Convert to fraction form
    1,606,869/3,346,902 = 3,346,902/x
  3. Step 3: Cross multiply
    1,606,869x = 3,346,902 × 3,346,902
  4. Step 4: Simplify right side
    1,606,869x = 11,201,752,997,604
  5. Step 5: Solve for x
    x = 11,201,752,997,604/1,606,869
  6. Step 6: Final answer
    x = 6,971,167.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.