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Finding the Third Proportional to 947,494 and 1,457,836

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Solution

The third proportional to 947,494 and 1,457,836 is: 2,243,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,494 : 1,457,836 = 1,457,836 : x
  2. Step 2: Convert to fraction form
    947,494/1,457,836 = 1,457,836/x
  3. Step 3: Cross multiply
    947,494x = 1,457,836 × 1,457,836
  4. Step 4: Simplify right side
    947,494x = 2,125,285,802,896
  5. Step 5: Solve for x
    x = 2,125,285,802,896/947,494
  6. Step 6: Final answer
    x = 2,243,059.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.