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Finding the Third Proportional to 472,263 and 1,019,155

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Solution

The third proportional to 472,263 and 1,019,155 is: 2,199,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,263 : 1,019,155 = 1,019,155 : x
  2. Step 2: Convert to fraction form
    472,263/1,019,155 = 1,019,155/x
  3. Step 3: Cross multiply
    472,263x = 1,019,155 × 1,019,155
  4. Step 4: Simplify right side
    472,263x = 1,038,676,914,025
  5. Step 5: Solve for x
    x = 1,038,676,914,025/472,263
  6. Step 6: Final answer
    x = 2,199,361.19

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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.