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Finding the Third Proportional to 852,056 and 1,336,596

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Solution

The third proportional to 852,056 and 1,336,596 is: 2,096,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,056 : 1,336,596 = 1,336,596 : x
  2. Step 2: Convert to fraction form
    852,056/1,336,596 = 1,336,596/x
  3. Step 3: Cross multiply
    852,056x = 1,336,596 × 1,336,596
  4. Step 4: Simplify right side
    852,056x = 1,786,488,867,216
  5. Step 5: Solve for x
    x = 1,786,488,867,216/852,056
  6. Step 6: Final answer
    x = 2,096,680.11

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.