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Finding the Third Proportional to 744,540.19 and 1,048,465.69

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Solution

The third proportional to 744,540.19 and 1,048,465.69 is: 1,476,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,540.19 : 1,048,465.69 = 1,048,465.69 : x
  2. Step 2: Convert to fraction form
    744,540.19/1,048,465.69 = 1,048,465.69/x
  3. Step 3: Cross multiply
    744,540.19x = 1,048,465.69 × 1,048,465.69
  4. Step 4: Simplify right side
    744,540.19x = 1,099,280,297,864.85
  5. Step 5: Solve for x
    x = 1,099,280,297,864.85/744,540.19
  6. Step 6: Final answer
    x = 1,476,455.29

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.