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Finding the Third Proportional to 599,106 and 1,304,008

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Solution

The third proportional to 599,106 and 1,304,008 is: 2,838,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,106 : 1,304,008 = 1,304,008 : x
  2. Step 2: Convert to fraction form
    599,106/1,304,008 = 1,304,008/x
  3. Step 3: Cross multiply
    599,106x = 1,304,008 × 1,304,008
  4. Step 4: Simplify right side
    599,106x = 1,700,436,864,064
  5. Step 5: Solve for x
    x = 1,700,436,864,064/599,106
  6. Step 6: Final answer
    x = 2,838,290.49

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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.