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Finding the Third Proportional to 631,428 and 962,901

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Solution

The third proportional to 631,428 and 962,901 is: 1,468,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,428 : 962,901 = 962,901 : x
  2. Step 2: Convert to fraction form
    631,428/962,901 = 962,901/x
  3. Step 3: Cross multiply
    631,428x = 962,901 × 962,901
  4. Step 4: Simplify right side
    631,428x = 927,178,335,801
  5. Step 5: Solve for x
    x = 927,178,335,801/631,428
  6. Step 6: Final answer
    x = 1,468,383.31

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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.