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Finding the Third Proportional to 428,084 and 937,368

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Solution

The third proportional to 428,084 and 937,368 is: 2,052,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,084 : 937,368 = 937,368 : x
  2. Step 2: Convert to fraction form
    428,084/937,368 = 937,368/x
  3. Step 3: Cross multiply
    428,084x = 937,368 × 937,368
  4. Step 4: Simplify right side
    428,084x = 878,658,767,424
  5. Step 5: Solve for x
    x = 878,658,767,424/428,084
  6. Step 6: Final answer
    x = 2,052,538.21

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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.