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Finding the Third Proportional to 905,060.25 and 1,341,933.75

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Solution

The third proportional to 905,060.25 and 1,341,933.75 is: 1,989,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,060.25 : 1,341,933.75 = 1,341,933.75 : x
  2. Step 2: Convert to fraction form
    905,060.25/1,341,933.75 = 1,341,933.75/x
  3. Step 3: Cross multiply
    905,060.25x = 1,341,933.75 × 1,341,933.75
  4. Step 4: Simplify right side
    905,060.25x = 1,800,786,189,389.06
  5. Step 5: Solve for x
    x = 1,800,786,189,389.06/905,060.25
  6. Step 6: Final answer
    x = 1,989,686.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.