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Finding the Third Proportional to 428,928 and 942,456

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Solution

The third proportional to 428,928 and 942,456 is: 2,070,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,928 : 942,456 = 942,456 : x
  2. Step 2: Convert to fraction form
    428,928/942,456 = 942,456/x
  3. Step 3: Cross multiply
    428,928x = 942,456 × 942,456
  4. Step 4: Simplify right side
    428,928x = 888,223,311,936
  5. Step 5: Solve for x
    x = 888,223,311,936/428,928
  6. Step 6: Final answer
    x = 2,070,798.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.