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Finding the Third Proportional to 772,134.87 and 1,173,944.87

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Solution

The third proportional to 772,134.87 and 1,173,944.87 is: 1,784,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,134.87 : 1,173,944.87 = 1,173,944.87 : x
  2. Step 2: Convert to fraction form
    772,134.87/1,173,944.87 = 1,173,944.87/x
  3. Step 3: Cross multiply
    772,134.87x = 1,173,944.87 × 1,173,944.87
  4. Step 4: Simplify right side
    772,134.87x = 1,378,146,546,610.21
  5. Step 5: Solve for x
    x = 1,378,146,546,610.21/772,134.87
  6. Step 6: Final answer
    x = 1,784,852.10

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Why These Related Problems?

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