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Finding the Third Proportional to 472,678 and 1,037,198

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Solution

The third proportional to 472,678 and 1,037,198 is: 2,275,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,678 : 1,037,198 = 1,037,198 : x
  2. Step 2: Convert to fraction form
    472,678/1,037,198 = 1,037,198/x
  3. Step 3: Cross multiply
    472,678x = 1,037,198 × 1,037,198
  4. Step 4: Simplify right side
    472,678x = 1,075,779,691,204
  5. Step 5: Solve for x
    x = 1,075,779,691,204/472,678
  6. Step 6: Final answer
    x = 2,275,925.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.