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Finding the Third Proportional to 449,971 and 978,674

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Solution

The third proportional to 449,971 and 978,674 is: 2,128,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,971 : 978,674 = 978,674 : x
  2. Step 2: Convert to fraction form
    449,971/978,674 = 978,674/x
  3. Step 3: Cross multiply
    449,971x = 978,674 × 978,674
  4. Step 4: Simplify right side
    449,971x = 957,802,798,276
  5. Step 5: Solve for x
    x = 957,802,798,276/449,971
  6. Step 6: Final answer
    x = 2,128,587.84

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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.