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Finding the Third Proportional to 429,096 and 925,640

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Solution

The third proportional to 429,096 and 925,640 is: 1,996,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,096 : 925,640 = 925,640 : x
  2. Step 2: Convert to fraction form
    429,096/925,640 = 925,640/x
  3. Step 3: Cross multiply
    429,096x = 925,640 × 925,640
  4. Step 4: Simplify right side
    429,096x = 856,809,409,600
  5. Step 5: Solve for x
    x = 856,809,409,600/429,096
  6. Step 6: Final answer
    x = 1,996,777.90

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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.