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Finding the Third Proportional to 768,168 and 1,186,902

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Solution

The third proportional to 768,168 and 1,186,902 is: 1,833,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,168 : 1,186,902 = 1,186,902 : x
  2. Step 2: Convert to fraction form
    768,168/1,186,902 = 1,186,902/x
  3. Step 3: Cross multiply
    768,168x = 1,186,902 × 1,186,902
  4. Step 4: Simplify right side
    768,168x = 1,408,736,357,604
  5. Step 5: Solve for x
    x = 1,408,736,357,604/768,168
  6. Step 6: Final answer
    x = 1,833,890.97

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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.