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Finding the Third Proportional to 409,004 and 883,344

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Solution

The third proportional to 409,004 and 883,344 is: 1,907,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,004 : 883,344 = 883,344 : x
  2. Step 2: Convert to fraction form
    409,004/883,344 = 883,344/x
  3. Step 3: Cross multiply
    409,004x = 883,344 × 883,344
  4. Step 4: Simplify right side
    409,004x = 780,296,622,336
  5. Step 5: Solve for x
    x = 780,296,622,336/409,004
  6. Step 6: Final answer
    x = 1,907,797.04

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Why These Related Problems?

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