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Finding the Third Proportional to 428,427 and 933,075

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Solution

The third proportional to 428,427 and 933,075 is: 2,032,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,427 : 933,075 = 933,075 : x
  2. Step 2: Convert to fraction form
    428,427/933,075 = 933,075/x
  3. Step 3: Cross multiply
    428,427x = 933,075 × 933,075
  4. Step 4: Simplify right side
    428,427x = 870,628,955,625
  5. Step 5: Solve for x
    x = 870,628,955,625/428,427
  6. Step 6: Final answer
    x = 2,032,152.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.