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Finding the Third Proportional to 472,676 and 1,037,194

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Solution

The third proportional to 472,676 and 1,037,194 is: 2,275,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,676 : 1,037,194 = 1,037,194 : x
  2. Step 2: Convert to fraction form
    472,676/1,037,194 = 1,037,194/x
  3. Step 3: Cross multiply
    472,676x = 1,037,194 × 1,037,194
  4. Step 4: Simplify right side
    472,676x = 1,075,771,393,636
  5. Step 5: Solve for x
    x = 1,075,771,393,636/472,676
  6. Step 6: Final answer
    x = 2,275,917.11

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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.