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Finding the Third Proportional to 842,880 and 1,828,608

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Solution

The third proportional to 842,880 and 1,828,608 is: 3,967,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,880 : 1,828,608 = 1,828,608 : x
  2. Step 2: Convert to fraction form
    842,880/1,828,608 = 1,828,608/x
  3. Step 3: Cross multiply
    842,880x = 1,828,608 × 1,828,608
  4. Step 4: Simplify right side
    842,880x = 3,343,807,217,664
  5. Step 5: Solve for x
    x = 3,343,807,217,664/842,880
  6. Step 6: Final answer
    x = 3,967,121.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.