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Finding the Third Proportional to 995,924 and 1,505,743

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Solution

The third proportional to 995,924 and 1,505,743 is: 2,276,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,924 : 1,505,743 = 1,505,743 : x
  2. Step 2: Convert to fraction form
    995,924/1,505,743 = 1,505,743/x
  3. Step 3: Cross multiply
    995,924x = 1,505,743 × 1,505,743
  4. Step 4: Simplify right side
    995,924x = 2,267,261,982,049
  5. Step 5: Solve for x
    x = 2,267,261,982,049/995,924
  6. Step 6: Final answer
    x = 2,276,541.16

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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.