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Finding the Third Proportional to 473,123 and 1,140,161

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Solution

The third proportional to 473,123 and 1,140,161 is: 2,747,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,123 : 1,140,161 = 1,140,161 : x
  2. Step 2: Convert to fraction form
    473,123/1,140,161 = 1,140,161/x
  3. Step 3: Cross multiply
    473,123x = 1,140,161 × 1,140,161
  4. Step 4: Simplify right side
    473,123x = 1,299,967,105,921
  5. Step 5: Solve for x
    x = 1,299,967,105,921/473,123
  6. Step 6: Final answer
    x = 2,747,630.33

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.