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Finding the Third Proportional to 457,832 and 957,486

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Solution

The third proportional to 457,832 and 957,486 is: 2,002,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,832 : 957,486 = 957,486 : x
  2. Step 2: Convert to fraction form
    457,832/957,486 = 957,486/x
  3. Step 3: Cross multiply
    457,832x = 957,486 × 957,486
  4. Step 4: Simplify right side
    457,832x = 916,779,440,196
  5. Step 5: Solve for x
    x = 916,779,440,196/457,832
  6. Step 6: Final answer
    x = 2,002,436.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.