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Finding the Third Proportional to 431,199 and 907,084

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Solution

The third proportional to 431,199 and 907,084 is: 1,908,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,199 : 907,084 = 907,084 : x
  2. Step 2: Convert to fraction form
    431,199/907,084 = 907,084/x
  3. Step 3: Cross multiply
    431,199x = 907,084 × 907,084
  4. Step 4: Simplify right side
    431,199x = 822,801,383,056
  5. Step 5: Solve for x
    x = 822,801,383,056/431,199
  6. Step 6: Final answer
    x = 1,908,170.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.