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Finding the Third Proportional to 1,691,618 and 3,647,306

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Solution

The third proportional to 1,691,618 and 3,647,306 is: 7,863,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,618 : 3,647,306 = 3,647,306 : x
  2. Step 2: Convert to fraction form
    1,691,618/3,647,306 = 3,647,306/x
  3. Step 3: Cross multiply
    1,691,618x = 3,647,306 × 3,647,306
  4. Step 4: Simplify right side
    1,691,618x = 13,302,841,057,636
  5. Step 5: Solve for x
    x = 13,302,841,057,636/1,691,618
  6. Step 6: Final answer
    x = 7,863,974.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.