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Finding the Third Proportional to 474,708.38 and 1,039,537.69

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Solution

The third proportional to 474,708.38 and 1,039,537.69 is: 2,276,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,708.38 : 1,039,537.69 = 1,039,537.69 : x
  2. Step 2: Convert to fraction form
    474,708.38/1,039,537.69 = 1,039,537.69/x
  3. Step 3: Cross multiply
    474,708.38x = 1,039,537.69 × 1,039,537.69
  4. Step 4: Simplify right side
    474,708.38x = 1,080,638,603,732.85
  5. Step 5: Solve for x
    x = 1,080,638,603,732.85/474,708.38
  6. Step 6: Final answer
    x = 2,276,426.25

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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.