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Finding the Third Proportional to 476,178 and 1,016,936

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Solution

The third proportional to 476,178 and 1,016,936 is: 2,171,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,178 : 1,016,936 = 1,016,936 : x
  2. Step 2: Convert to fraction form
    476,178/1,016,936 = 1,016,936/x
  3. Step 3: Cross multiply
    476,178x = 1,016,936 × 1,016,936
  4. Step 4: Simplify right side
    476,178x = 1,034,158,828,096
  5. Step 5: Solve for x
    x = 1,034,158,828,096/476,178
  6. Step 6: Final answer
    x = 2,171,790.44

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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.