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Finding the Third Proportional to 459,568 and 1,004,480

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Solution

The third proportional to 459,568 and 1,004,480 is: 2,195,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,568 : 1,004,480 = 1,004,480 : x
  2. Step 2: Convert to fraction form
    459,568/1,004,480 = 1,004,480/x
  3. Step 3: Cross multiply
    459,568x = 1,004,480 × 1,004,480
  4. Step 4: Simplify right side
    459,568x = 1,008,980,070,400
  5. Step 5: Solve for x
    x = 1,008,980,070,400/459,568
  6. Step 6: Final answer
    x = 2,195,496.79

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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.