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Finding the Third Proportional to 498,824 and 1,207,604

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Solution

The third proportional to 498,824 and 1,207,604 is: 2,923,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,824 : 1,207,604 = 1,207,604 : x
  2. Step 2: Convert to fraction form
    498,824/1,207,604 = 1,207,604/x
  3. Step 3: Cross multiply
    498,824x = 1,207,604 × 1,207,604
  4. Step 4: Simplify right side
    498,824x = 1,458,307,420,816
  5. Step 5: Solve for x
    x = 1,458,307,420,816/498,824
  6. Step 6: Final answer
    x = 2,923,490.89

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.