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Finding the Third Proportional to 805,698.14 and 1,094,878.27

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Solution

The third proportional to 805,698.14 and 1,094,878.27 is: 1,487,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,698.14 : 1,094,878.27 = 1,094,878.27 : x
  2. Step 2: Convert to fraction form
    805,698.14/1,094,878.27 = 1,094,878.27/x
  3. Step 3: Cross multiply
    805,698.14x = 1,094,878.27 × 1,094,878.27
  4. Step 4: Simplify right side
    805,698.14x = 1,198,758,416,538.01
  5. Step 5: Solve for x
    x = 1,198,758,416,538.01/805,698.14
  6. Step 6: Final answer
    x = 1,487,850.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.