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Finding the Third Proportional to 503,368 and 1,106,204

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Solution

The third proportional to 503,368 and 1,106,204 is: 2,430,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,368 : 1,106,204 = 1,106,204 : x
  2. Step 2: Convert to fraction form
    503,368/1,106,204 = 1,106,204/x
  3. Step 3: Cross multiply
    503,368x = 1,106,204 × 1,106,204
  4. Step 4: Simplify right side
    503,368x = 1,223,687,289,616
  5. Step 5: Solve for x
    x = 1,223,687,289,616/503,368
  6. Step 6: Final answer
    x = 2,430,999.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.