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Finding the Third Proportional to 676,865 and 1,505,023

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Solution

The third proportional to 676,865 and 1,505,023 is: 3,346,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,865 : 1,505,023 = 1,505,023 : x
  2. Step 2: Convert to fraction form
    676,865/1,505,023 = 1,505,023/x
  3. Step 3: Cross multiply
    676,865x = 1,505,023 × 1,505,023
  4. Step 4: Simplify right side
    676,865x = 2,265,094,230,529
  5. Step 5: Solve for x
    x = 2,265,094,230,529/676,865
  6. Step 6: Final answer
    x = 3,346,449.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.