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Finding the Third Proportional to 681,096 and 1,445,211

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Solution

The third proportional to 681,096 and 1,445,211 is: 3,066,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,096 : 1,445,211 = 1,445,211 : x
  2. Step 2: Convert to fraction form
    681,096/1,445,211 = 1,445,211/x
  3. Step 3: Cross multiply
    681,096x = 1,445,211 × 1,445,211
  4. Step 4: Simplify right side
    681,096x = 2,088,634,834,521
  5. Step 5: Solve for x
    x = 2,088,634,834,521/681,096
  6. Step 6: Final answer
    x = 3,066,579.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.