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Finding the Third Proportional to 3,476,045 and 5,089,630.50

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Solution

The third proportional to 3,476,045 and 5,089,630.50 is: 7,452,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476,045 : 5,089,630.50 = 5,089,630.50 : x
  2. Step 2: Convert to fraction form
    3,476,045/5,089,630.50 = 5,089,630.50/x
  3. Step 3: Cross multiply
    3,476,045x = 5,089,630.50 × 5,089,630.50
  4. Step 4: Simplify right side
    3,476,045x = 25,904,338,626,530.25
  5. Step 5: Solve for x
    x = 25,904,338,626,530.25/3,476,045
  6. Step 6: Final answer
    x = 7,452,244.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.