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Finding the Third Proportional to 591,735.38 and 1,294,187.63

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Solution

The third proportional to 591,735.38 and 1,294,187.63 is: 2,830,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,735.38 : 1,294,187.63 = 1,294,187.63 : x
  2. Step 2: Convert to fraction form
    591,735.38/1,294,187.63 = 1,294,187.63/x
  3. Step 3: Cross multiply
    591,735.38x = 1,294,187.63 × 1,294,187.63
  4. Step 4: Simplify right side
    591,735.38x = 1,674,921,608,703.14
  5. Step 5: Solve for x
    x = 1,674,921,608,703.14/591,735.38
  6. Step 6: Final answer
    x = 2,830,524.72

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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.