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Finding the Third Proportional to 768,172 and 1,186,908

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Solution

The third proportional to 768,172 and 1,186,908 is: 1,833,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,172 : 1,186,908 = 1,186,908 : x
  2. Step 2: Convert to fraction form
    768,172/1,186,908 = 1,186,908/x
  3. Step 3: Cross multiply
    768,172x = 1,186,908 × 1,186,908
  4. Step 4: Simplify right side
    768,172x = 1,408,750,600,464
  5. Step 5: Solve for x
    x = 1,408,750,600,464/768,172
  6. Step 6: Final answer
    x = 1,833,899.96

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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.