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Finding the Third Proportional to 811,062 and 1,673,532

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Solution

The third proportional to 811,062 and 1,673,532 is: 3,453,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,062 : 1,673,532 = 1,673,532 : x
  2. Step 2: Convert to fraction form
    811,062/1,673,532 = 1,673,532/x
  3. Step 3: Cross multiply
    811,062x = 1,673,532 × 1,673,532
  4. Step 4: Simplify right side
    811,062x = 2,800,709,355,024
  5. Step 5: Solve for x
    x = 2,800,709,355,024/811,062
  6. Step 6: Final answer
    x = 3,453,138.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.