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Finding the Third Proportional to 428,922 and 928,455.75

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Solution

The third proportional to 428,922 and 928,455.75 is: 2,009,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,922 : 928,455.75 = 928,455.75 : x
  2. Step 2: Convert to fraction form
    428,922/928,455.75 = 928,455.75/x
  3. Step 3: Cross multiply
    428,922x = 928,455.75 × 928,455.75
  4. Step 4: Simplify right side
    428,922x = 862,030,079,708.06
  5. Step 5: Solve for x
    x = 862,030,079,708.06/428,922
  6. Step 6: Final answer
    x = 2,009,759.54

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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.