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Finding the Third Proportional to 935,785.41 and 1,915,834.78

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Solution

The third proportional to 935,785.41 and 1,915,834.78 is: 3,922,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,785.41 : 1,915,834.78 = 1,915,834.78 : x
  2. Step 2: Convert to fraction form
    935,785.41/1,915,834.78 = 1,915,834.78/x
  3. Step 3: Cross multiply
    935,785.41x = 1,915,834.78 × 1,915,834.78
  4. Step 4: Simplify right side
    935,785.41x = 3,670,422,909,047.24
  5. Step 5: Solve for x
    x = 3,670,422,909,047.24/935,785.41
  6. Step 6: Final answer
    x = 3,922,291.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.