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Finding the Third Proportional to 1,263,930 and 2,705,007

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Solution

The third proportional to 1,263,930 and 2,705,007 is: 5,789,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,930 : 2,705,007 = 2,705,007 : x
  2. Step 2: Convert to fraction form
    1,263,930/2,705,007 = 2,705,007/x
  3. Step 3: Cross multiply
    1,263,930x = 2,705,007 × 2,705,007
  4. Step 4: Simplify right side
    1,263,930x = 7,317,062,870,049
  5. Step 5: Solve for x
    x = 7,317,062,870,049/1,263,930
  6. Step 6: Final answer
    x = 5,789,136.16

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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.