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Finding the Third Proportional to 472,674.38 and 1,037,189.25

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Solution

The third proportional to 472,674.38 and 1,037,189.25 is: 2,275,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,674.38 : 1,037,189.25 = 1,037,189.25 : x
  2. Step 2: Convert to fraction form
    472,674.38/1,037,189.25 = 1,037,189.25/x
  3. Step 3: Cross multiply
    472,674.38x = 1,037,189.25 × 1,037,189.25
  4. Step 4: Simplify right side
    472,674.38x = 1,075,761,540,315.56
  5. Step 5: Solve for x
    x = 1,075,761,540,315.56/472,674.38
  6. Step 6: Final answer
    x = 2,275,904.08

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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.