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Finding the Third Proportional to 995,535 and 2,171,895

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Solution

The third proportional to 995,535 and 2,171,895 is: 4,738,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,535 : 2,171,895 = 2,171,895 : x
  2. Step 2: Convert to fraction form
    995,535/2,171,895 = 2,171,895/x
  3. Step 3: Cross multiply
    995,535x = 2,171,895 × 2,171,895
  4. Step 4: Simplify right side
    995,535x = 4,717,127,891,025
  5. Step 5: Solve for x
    x = 4,717,127,891,025/995,535
  6. Step 6: Final answer
    x = 4,738,284.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.