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Finding the Third Proportional to 787,266 and 1,190,214

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Solution

The third proportional to 787,266 and 1,190,214 is: 1,799,403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,266 : 1,190,214 = 1,190,214 : x
  2. Step 2: Convert to fraction form
    787,266/1,190,214 = 1,190,214/x
  3. Step 3: Cross multiply
    787,266x = 1,190,214 × 1,190,214
  4. Step 4: Simplify right side
    787,266x = 1,416,609,365,796
  5. Step 5: Solve for x
    x = 1,416,609,365,796/787,266
  6. Step 6: Final answer
    x = 1,799,403.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.