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Finding the Third Proportional to 498,728 and 1,068,912

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Solution

The third proportional to 498,728 and 1,068,912 is: 2,290,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,728 : 1,068,912 = 1,068,912 : x
  2. Step 2: Convert to fraction form
    498,728/1,068,912 = 1,068,912/x
  3. Step 3: Cross multiply
    498,728x = 1,068,912 × 1,068,912
  4. Step 4: Simplify right side
    498,728x = 1,142,572,863,744
  5. Step 5: Solve for x
    x = 1,142,572,863,744/498,728
  6. Step 6: Final answer
    x = 2,290,973.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.