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Finding the Third Proportional to 947,910 and 1,453,542

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Solution

The third proportional to 947,910 and 1,453,542 is: 2,228,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,910 : 1,453,542 = 1,453,542 : x
  2. Step 2: Convert to fraction form
    947,910/1,453,542 = 1,453,542/x
  3. Step 3: Cross multiply
    947,910x = 1,453,542 × 1,453,542
  4. Step 4: Simplify right side
    947,910x = 2,112,784,345,764
  5. Step 5: Solve for x
    x = 2,112,784,345,764/947,910
  6. Step 6: Final answer
    x = 2,228,887.07

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