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Finding the Third Proportional to 449,944 and 978,618

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Solution

The third proportional to 449,944 and 978,618 is: 2,128,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,944 : 978,618 = 978,618 : x
  2. Step 2: Convert to fraction form
    449,944/978,618 = 978,618/x
  3. Step 3: Cross multiply
    449,944x = 978,618 × 978,618
  4. Step 4: Simplify right side
    449,944x = 957,693,189,924
  5. Step 5: Solve for x
    x = 957,693,189,924/449,944
  6. Step 6: Final answer
    x = 2,128,471.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.