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Finding the Third Proportional to 457,830 and 957,480.75

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Solution

The third proportional to 457,830 and 957,480.75 is: 2,002,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,830 : 957,480.75 = 957,480.75 : x
  2. Step 2: Convert to fraction form
    457,830/957,480.75 = 957,480.75/x
  3. Step 3: Cross multiply
    457,830x = 957,480.75 × 957,480.75
  4. Step 4: Simplify right side
    457,830x = 916,769,386,620.56
  5. Step 5: Solve for x
    x = 916,769,386,620.56/457,830
  6. Step 6: Final answer
    x = 2,002,423.14

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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.