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Finding the Third Proportional to 1,503,243.25 and 2,042,340.96

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Solution

The third proportional to 1,503,243.25 and 2,042,340.96 is: 2,774,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,243.25 : 2,042,340.96 = 2,042,340.96 : x
  2. Step 2: Convert to fraction form
    1,503,243.25/2,042,340.96 = 2,042,340.96/x
  3. Step 3: Cross multiply
    1,503,243.25x = 2,042,340.96 × 2,042,340.96
  4. Step 4: Simplify right side
    1,503,243.25x = 4,171,156,600,723.11
  5. Step 5: Solve for x
    x = 4,171,156,600,723.11/1,503,243.25
  6. Step 6: Final answer
    x = 2,774,771.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.