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Finding the Third Proportional to 682,206 and 1,447,532

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Solution

The third proportional to 682,206 and 1,447,532 is: 3,071,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,206 : 1,447,532 = 1,447,532 : x
  2. Step 2: Convert to fraction form
    682,206/1,447,532 = 1,447,532/x
  3. Step 3: Cross multiply
    682,206x = 1,447,532 × 1,447,532
  4. Step 4: Simplify right side
    682,206x = 2,095,348,891,024
  5. Step 5: Solve for x
    x = 2,095,348,891,024/682,206
  6. Step 6: Final answer
    x = 3,071,431.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.