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Finding the Third Proportional to 1,094,297.63 and 1,748,163.94

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Solution

The third proportional to 1,094,297.63 and 1,748,163.94 is: 2,792,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094,297.63 : 1,748,163.94 = 1,748,163.94 : x
  2. Step 2: Convert to fraction form
    1,094,297.63/1,748,163.94 = 1,748,163.94/x
  3. Step 3: Cross multiply
    1,094,297.63x = 1,748,163.94 × 1,748,163.94
  4. Step 4: Simplify right side
    1,094,297.63x = 3,056,077,152,375.50
  5. Step 5: Solve for x
    x = 3,056,077,152,375.50/1,094,297.63
  6. Step 6: Final answer
    x = 2,792,729.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.