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Finding the Third Proportional to 459,110 and 994,482

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Solution

The third proportional to 459,110 and 994,482 is: 2,154,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,110 : 994,482 = 994,482 : x
  2. Step 2: Convert to fraction form
    459,110/994,482 = 994,482/x
  3. Step 3: Cross multiply
    459,110x = 994,482 × 994,482
  4. Step 4: Simplify right side
    459,110x = 988,994,448,324
  5. Step 5: Solve for x
    x = 988,994,448,324/459,110
  6. Step 6: Final answer
    x = 2,154,155.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.