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Finding the Third Proportional to 947,912 and 1,453,545

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Solution

The third proportional to 947,912 and 1,453,545 is: 2,228,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,912 : 1,453,545 = 1,453,545 : x
  2. Step 2: Convert to fraction form
    947,912/1,453,545 = 1,453,545/x
  3. Step 3: Cross multiply
    947,912x = 1,453,545 × 1,453,545
  4. Step 4: Simplify right side
    947,912x = 2,112,793,067,025
  5. Step 5: Solve for x
    x = 2,112,793,067,025/947,912
  6. Step 6: Final answer
    x = 2,228,891.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.