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Finding the Third Proportional to 465,941 and 1,019,119

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Solution

The third proportional to 465,941 and 1,019,119 is: 2,229,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,941 : 1,019,119 = 1,019,119 : x
  2. Step 2: Convert to fraction form
    465,941/1,019,119 = 1,019,119/x
  3. Step 3: Cross multiply
    465,941x = 1,019,119 × 1,019,119
  4. Step 4: Simplify right side
    465,941x = 1,038,603,536,161
  5. Step 5: Solve for x
    x = 1,038,603,536,161/465,941
  6. Step 6: Final answer
    x = 2,229,045.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.