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Finding the Third Proportional to 459,075 and 984,558

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Solution

The third proportional to 459,075 and 984,558 is: 2,111,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,075 : 984,558 = 984,558 : x
  2. Step 2: Convert to fraction form
    459,075/984,558 = 984,558/x
  3. Step 3: Cross multiply
    459,075x = 984,558 × 984,558
  4. Step 4: Simplify right side
    459,075x = 969,354,455,364
  5. Step 5: Solve for x
    x = 969,354,455,364/459,075
  6. Step 6: Final answer
    x = 2,111,538.32

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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.