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Finding the Third Proportional to 772,942.18 and 1,016,416.79

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Solution

The third proportional to 772,942.18 and 1,016,416.79 is: 1,336,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,942.18 : 1,016,416.79 = 1,016,416.79 : x
  2. Step 2: Convert to fraction form
    772,942.18/1,016,416.79 = 1,016,416.79/x
  3. Step 3: Cross multiply
    772,942.18x = 1,016,416.79 × 1,016,416.79
  4. Step 4: Simplify right side
    772,942.18x = 1,033,103,097,028.98
  5. Step 5: Solve for x
    x = 1,033,103,097,028.98/772,942.18
  6. Step 6: Final answer
    x = 1,336,585.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.