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Finding the Third Proportional to 1,703,971 and 3,647,351

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Solution

The third proportional to 1,703,971 and 3,647,351 is: 7,807,157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,971 : 3,647,351 = 3,647,351 : x
  2. Step 2: Convert to fraction form
    1,703,971/3,647,351 = 3,647,351/x
  3. Step 3: Cross multiply
    1,703,971x = 3,647,351 × 3,647,351
  4. Step 4: Simplify right side
    1,703,971x = 13,303,169,317,201
  5. Step 5: Solve for x
    x = 13,303,169,317,201/1,703,971
  6. Step 6: Final answer
    x = 7,807,157.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.