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Finding the Third Proportional to 512,698.50 and 1,122,051

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Solution

The third proportional to 512,698.50 and 1,122,051 is: 2,455,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,698.50 : 1,122,051 = 1,122,051 : x
  2. Step 2: Convert to fraction form
    512,698.50/1,122,051 = 1,122,051/x
  3. Step 3: Cross multiply
    512,698.50x = 1,122,051 × 1,122,051
  4. Step 4: Simplify right side
    512,698.50x = 1,258,998,446,601
  5. Step 5: Solve for x
    x = 1,258,998,446,601/512,698.50
  6. Step 6: Final answer
    x = 2,455,631.23

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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.