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Finding the Third Proportional to 435,664 and 938,080

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Solution

The third proportional to 435,664 and 938,080 is: 2,019,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,664 : 938,080 = 938,080 : x
  2. Step 2: Convert to fraction form
    435,664/938,080 = 938,080/x
  3. Step 3: Cross multiply
    435,664x = 938,080 × 938,080
  4. Step 4: Simplify right side
    435,664x = 879,994,086,400
  5. Step 5: Solve for x
    x = 879,994,086,400/435,664
  6. Step 6: Final answer
    x = 2,019,891.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.