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Finding the Third Proportional to 1,703,968 and 3,647,345

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Solution

The third proportional to 1,703,968 and 3,647,345 is: 7,807,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,968 : 3,647,345 = 3,647,345 : x
  2. Step 2: Convert to fraction form
    1,703,968/3,647,345 = 3,647,345/x
  3. Step 3: Cross multiply
    1,703,968x = 3,647,345 × 3,647,345
  4. Step 4: Simplify right side
    1,703,968x = 13,303,125,549,025
  5. Step 5: Solve for x
    x = 13,303,125,549,025/1,703,968
  6. Step 6: Final answer
    x = 7,807,145.17

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