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Finding the Third Proportional to 705,450 and 1,522,416

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Solution

The third proportional to 705,450 and 1,522,416 is: 3,285,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,450 : 1,522,416 = 1,522,416 : x
  2. Step 2: Convert to fraction form
    705,450/1,522,416 = 1,522,416/x
  3. Step 3: Cross multiply
    705,450x = 1,522,416 × 1,522,416
  4. Step 4: Simplify right side
    705,450x = 2,317,750,477,056
  5. Step 5: Solve for x
    x = 2,317,750,477,056/705,450
  6. Step 6: Final answer
    x = 3,285,492.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.