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Finding the Third Proportional to 512,684.44 and 1,121,855.06

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Solution

The third proportional to 512,684.44 and 1,121,855.06 is: 2,454,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,684.44 : 1,121,855.06 = 1,121,855.06 : x
  2. Step 2: Convert to fraction form
    512,684.44/1,121,855.06 = 1,121,855.06/x
  3. Step 3: Cross multiply
    512,684.44x = 1,121,855.06 × 1,121,855.06
  4. Step 4: Simplify right side
    512,684.44x = 1,258,558,781,256.88
  5. Step 5: Solve for x
    x = 1,258,558,781,256.88/512,684.44
  6. Step 6: Final answer
    x = 2,454,841.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.