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Finding the Third Proportional to 2,575,464.75 and 3,497,825.25

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Solution

The third proportional to 2,575,464.75 and 3,497,825.25 is: 4,750,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,464.75 : 3,497,825.25 = 3,497,825.25 : x
  2. Step 2: Convert to fraction form
    2,575,464.75/3,497,825.25 = 3,497,825.25/x
  3. Step 3: Cross multiply
    2,575,464.75x = 3,497,825.25 × 3,497,825.25
  4. Step 4: Simplify right side
    2,575,464.75x = 12,234,781,479,537.56
  5. Step 5: Solve for x
    x = 12,234,781,479,537.56/2,575,464.75
  6. Step 6: Final answer
    x = 4,750,514.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.