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Finding the Third Proportional to 787,206 and 1,253,211

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Solution

The third proportional to 787,206 and 1,253,211 is: 1,995,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,206 : 1,253,211 = 1,253,211 : x
  2. Step 2: Convert to fraction form
    787,206/1,253,211 = 1,253,211/x
  3. Step 3: Cross multiply
    787,206x = 1,253,211 × 1,253,211
  4. Step 4: Simplify right side
    787,206x = 1,570,537,810,521
  5. Step 5: Solve for x
    x = 1,570,537,810,521/787,206
  6. Step 6: Final answer
    x = 1,995,078.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.