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Finding the Third Proportional to 631,128 and 1,377,904

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Solution

The third proportional to 631,128 and 1,377,904 is: 3,008,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,128 : 1,377,904 = 1,377,904 : x
  2. Step 2: Convert to fraction form
    631,128/1,377,904 = 1,377,904/x
  3. Step 3: Cross multiply
    631,128x = 1,377,904 × 1,377,904
  4. Step 4: Simplify right side
    631,128x = 1,898,619,433,216
  5. Step 5: Solve for x
    x = 1,898,619,433,216/631,128
  6. Step 6: Final answer
    x = 3,008,295.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.