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Finding the Third Proportional to 631,426 and 962,898

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Solution

The third proportional to 631,426 and 962,898 is: 1,468,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,426 : 962,898 = 962,898 : x
  2. Step 2: Convert to fraction form
    631,426/962,898 = 962,898/x
  3. Step 3: Cross multiply
    631,426x = 962,898 × 962,898
  4. Step 4: Simplify right side
    631,426x = 927,172,558,404
  5. Step 5: Solve for x
    x = 927,172,558,404/631,426
  6. Step 6: Final answer
    x = 1,468,378.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.