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Finding the Third Proportional to 503,808 and 1,037,172

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Solution

The third proportional to 503,808 and 1,037,172 is: 2,135,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,808 : 1,037,172 = 1,037,172 : x
  2. Step 2: Convert to fraction form
    503,808/1,037,172 = 1,037,172/x
  3. Step 3: Cross multiply
    503,808x = 1,037,172 × 1,037,172
  4. Step 4: Simplify right side
    503,808x = 1,075,725,757,584
  5. Step 5: Solve for x
    x = 1,075,725,757,584/503,808
  6. Step 6: Final answer
    x = 2,135,189.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.