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Finding the Third Proportional to 995,914 and 1,505,729

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Solution

The third proportional to 995,914 and 1,505,729 is: 2,276,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,914 : 1,505,729 = 1,505,729 : x
  2. Step 2: Convert to fraction form
    995,914/1,505,729 = 1,505,729/x
  3. Step 3: Cross multiply
    995,914x = 1,505,729 × 1,505,729
  4. Step 4: Simplify right side
    995,914x = 2,267,219,821,441
  5. Step 5: Solve for x
    x = 2,267,219,821,441/995,914
  6. Step 6: Final answer
    x = 2,276,521.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.