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Finding the Third Proportional to 2,065,131.25 and 4,473,423.50

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Solution

The third proportional to 2,065,131.25 and 4,473,423.50 is: 9,690,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,131.25 : 4,473,423.50 = 4,473,423.50 : x
  2. Step 2: Convert to fraction form
    2,065,131.25/4,473,423.50 = 4,473,423.50/x
  3. Step 3: Cross multiply
    2,065,131.25x = 4,473,423.50 × 4,473,423.50
  4. Step 4: Simplify right side
    2,065,131.25x = 20,011,517,810,352.25
  5. Step 5: Solve for x
    x = 20,011,517,810,352.25/2,065,131.25
  6. Step 6: Final answer
    x = 9,690,191.75

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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.