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Finding the Third Proportional to 665,656 and 1,458,019

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Solution

The third proportional to 665,656 and 1,458,019 is: 3,193,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,656 : 1,458,019 = 1,458,019 : x
  2. Step 2: Convert to fraction form
    665,656/1,458,019 = 1,458,019/x
  3. Step 3: Cross multiply
    665,656x = 1,458,019 × 1,458,019
  4. Step 4: Simplify right side
    665,656x = 2,125,819,404,361
  5. Step 5: Solve for x
    x = 2,125,819,404,361/665,656
  6. Step 6: Final answer
    x = 3,193,570.56

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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.