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Finding the Third Proportional to 681,402.38 and 1,433,403.84

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Solution

The third proportional to 681,402.38 and 1,433,403.84 is: 3,015,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,402.38 : 1,433,403.84 = 1,433,403.84 : x
  2. Step 2: Convert to fraction form
    681,402.38/1,433,403.84 = 1,433,403.84/x
  3. Step 3: Cross multiply
    681,402.38x = 1,433,403.84 × 1,433,403.84
  4. Step 4: Simplify right side
    681,402.38x = 2,054,646,579,277.27
  5. Step 5: Solve for x
    x = 2,054,646,579,277.27/681,402.38
  6. Step 6: Final answer
    x = 3,015,320.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.