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Finding the Third Proportional to 2,030,194.13 and 2,856,441.94

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Solution

The third proportional to 2,030,194.13 and 2,856,441.94 is: 4,018,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,194.13 : 2,856,441.94 = 2,856,441.94 : x
  2. Step 2: Convert to fraction form
    2,030,194.13/2,856,441.94 = 2,856,441.94/x
  3. Step 3: Cross multiply
    2,030,194.13x = 2,856,441.94 × 2,856,441.94
  4. Step 4: Simplify right side
    2,030,194.13x = 8,159,260,542,308.75
  5. Step 5: Solve for x
    x = 8,159,260,542,308.75/2,030,194.13
  6. Step 6: Final answer
    x = 4,018,955.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.