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Finding the Third Proportional to 857,884 and 1,856,984

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Solution

The third proportional to 857,884 and 1,856,984 is: 4,019,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,884 : 1,856,984 = 1,856,984 : x
  2. Step 2: Convert to fraction form
    857,884/1,856,984 = 1,856,984/x
  3. Step 3: Cross multiply
    857,884x = 1,856,984 × 1,856,984
  4. Step 4: Simplify right side
    857,884x = 3,448,389,576,256
  5. Step 5: Solve for x
    x = 3,448,389,576,256/857,884
  6. Step 6: Final answer
    x = 4,019,645.52

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