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Finding the Third Proportional to 404,082 and 879,102

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Solution

The third proportional to 404,082 and 879,102 is: 1,912,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,082 : 879,102 = 879,102 : x
  2. Step 2: Convert to fraction form
    404,082/879,102 = 879,102/x
  3. Step 3: Cross multiply
    404,082x = 879,102 × 879,102
  4. Step 4: Simplify right side
    404,082x = 772,820,326,404
  5. Step 5: Solve for x
    x = 772,820,326,404/404,082
  6. Step 6: Final answer
    x = 1,912,533.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.