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Finding the Third Proportional to 428,082 and 937,364

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Solution

The third proportional to 428,082 and 937,364 is: 2,052,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,082 : 937,364 = 937,364 : x
  2. Step 2: Convert to fraction form
    428,082/937,364 = 937,364/x
  3. Step 3: Cross multiply
    428,082x = 937,364 × 937,364
  4. Step 4: Simplify right side
    428,082x = 878,651,268,496
  5. Step 5: Solve for x
    x = 878,651,268,496/428,082
  6. Step 6: Final answer
    x = 2,052,530.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.