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Finding the Third Proportional to 819,867 and 1,692,248

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Solution

The third proportional to 819,867 and 1,692,248 is: 3,492,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,867 : 1,692,248 = 1,692,248 : x
  2. Step 2: Convert to fraction form
    819,867/1,692,248 = 1,692,248/x
  3. Step 3: Cross multiply
    819,867x = 1,692,248 × 1,692,248
  4. Step 4: Simplify right side
    819,867x = 2,863,703,293,504
  5. Step 5: Solve for x
    x = 2,863,703,293,504/819,867
  6. Step 6: Final answer
    x = 3,492,887.62

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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.