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Finding the Third Proportional to 470,397 and 1,016,244

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Solution

The third proportional to 470,397 and 1,016,244 is: 2,195,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,397 : 1,016,244 = 1,016,244 : x
  2. Step 2: Convert to fraction form
    470,397/1,016,244 = 1,016,244/x
  3. Step 3: Cross multiply
    470,397x = 1,016,244 × 1,016,244
  4. Step 4: Simplify right side
    470,397x = 1,032,751,867,536
  5. Step 5: Solve for x
    x = 1,032,751,867,536/470,397
  6. Step 6: Final answer
    x = 2,195,489.91

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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.