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Finding the Third Proportional to 772,138 and 1,173,950

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Solution

The third proportional to 772,138 and 1,173,950 is: 1,784,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,138 : 1,173,950 = 1,173,950 : x
  2. Step 2: Convert to fraction form
    772,138/1,173,950 = 1,173,950/x
  3. Step 3: Cross multiply
    772,138x = 1,173,950 × 1,173,950
  4. Step 4: Simplify right side
    772,138x = 1,378,158,602,500
  5. Step 5: Solve for x
    x = 1,378,158,602,500/772,138
  6. Step 6: Final answer
    x = 1,784,860.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.