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Finding the Third Proportional to 1,046,232 and 1,480,824

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Solution

The third proportional to 1,046,232 and 1,480,824 is: 2,095,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,232 : 1,480,824 = 1,480,824 : x
  2. Step 2: Convert to fraction form
    1,046,232/1,480,824 = 1,480,824/x
  3. Step 3: Cross multiply
    1,046,232x = 1,480,824 × 1,480,824
  4. Step 4: Simplify right side
    1,046,232x = 2,192,839,718,976
  5. Step 5: Solve for x
    x = 2,192,839,718,976/1,046,232
  6. Step 6: Final answer
    x = 2,095,940.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.