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Finding the Third Proportional to 1,531,824 and 2,146,577

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Solution

The third proportional to 1,531,824 and 2,146,577 is: 3,008,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,824 : 2,146,577 = 2,146,577 : x
  2. Step 2: Convert to fraction form
    1,531,824/2,146,577 = 2,146,577/x
  3. Step 3: Cross multiply
    1,531,824x = 2,146,577 × 2,146,577
  4. Step 4: Simplify right side
    1,531,824x = 4,607,792,816,929
  5. Step 5: Solve for x
    x = 4,607,792,816,929/1,531,824
  6. Step 6: Final answer
    x = 3,008,043.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.