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Finding the Third Proportional to 459,081 and 984,570

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Solution

The third proportional to 459,081 and 984,570 is: 2,111,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,081 : 984,570 = 984,570 : x
  2. Step 2: Convert to fraction form
    459,081/984,570 = 984,570/x
  3. Step 3: Cross multiply
    459,081x = 984,570 × 984,570
  4. Step 4: Simplify right side
    459,081x = 969,378,084,900
  5. Step 5: Solve for x
    x = 969,378,084,900/459,081
  6. Step 6: Final answer
    x = 2,111,562.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.