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Finding the Third Proportional to 459,079 and 984,566

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Solution

The third proportional to 459,079 and 984,566 is: 2,111,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,079 : 984,566 = 984,566 : x
  2. Step 2: Convert to fraction form
    459,079/984,566 = 984,566/x
  3. Step 3: Cross multiply
    459,079x = 984,566 × 984,566
  4. Step 4: Simplify right side
    459,079x = 969,370,208,356
  5. Step 5: Solve for x
    x = 969,370,208,356/459,079
  6. Step 6: Final answer
    x = 2,111,554.24

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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.