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Finding the Third Proportional to 664,765.31 and 1,458,776.25

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Solution

The third proportional to 664,765.31 and 1,458,776.25 is: 3,201,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,765.31 : 1,458,776.25 = 1,458,776.25 : x
  2. Step 2: Convert to fraction form
    664,765.31/1,458,776.25 = 1,458,776.25/x
  3. Step 3: Cross multiply
    664,765.31x = 1,458,776.25 × 1,458,776.25
  4. Step 4: Simplify right side
    664,765.31x = 2,128,028,147,564.06
  5. Step 5: Solve for x
    x = 2,128,028,147,564.06/664,765.31
  6. Step 6: Final answer
    x = 3,201,172.06

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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.