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Finding the Third Proportional to 1,431,304 and 3,086,824

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Solution

The third proportional to 1,431,304 and 3,086,824 is: 6,657,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,304 : 3,086,824 = 3,086,824 : x
  2. Step 2: Convert to fraction form
    1,431,304/3,086,824 = 3,086,824/x
  3. Step 3: Cross multiply
    1,431,304x = 3,086,824 × 3,086,824
  4. Step 4: Simplify right side
    1,431,304x = 9,528,482,406,976
  5. Step 5: Solve for x
    x = 9,528,482,406,976/1,431,304
  6. Step 6: Final answer
    x = 6,657,203.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.