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Finding the Third Proportional to 905,308.13 and 1,966,311.75

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Solution

The third proportional to 905,308.13 and 1,966,311.75 is: 4,270,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,308.13 : 1,966,311.75 = 1,966,311.75 : x
  2. Step 2: Convert to fraction form
    905,308.13/1,966,311.75 = 1,966,311.75/x
  3. Step 3: Cross multiply
    905,308.13x = 1,966,311.75 × 1,966,311.75
  4. Step 4: Simplify right side
    905,308.13x = 3,866,381,898,188.06
  5. Step 5: Solve for x
    x = 3,866,381,898,188.06/905,308.13
  6. Step 6: Final answer
    x = 4,270,791.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.