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Finding the Third Proportional to 768,170 and 1,186,905

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Solution

The third proportional to 768,170 and 1,186,905 is: 1,833,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,170 : 1,186,905 = 1,186,905 : x
  2. Step 2: Convert to fraction form
    768,170/1,186,905 = 1,186,905/x
  3. Step 3: Cross multiply
    768,170x = 1,186,905 × 1,186,905
  4. Step 4: Simplify right side
    768,170x = 1,408,743,479,025
  5. Step 5: Solve for x
    x = 1,408,743,479,025/768,170
  6. Step 6: Final answer
    x = 1,833,895.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.