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Finding the Third Proportional to 549,464.25 and 1,187,835

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Solution

The third proportional to 549,464.25 and 1,187,835 is: 2,567,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,464.25 : 1,187,835 = 1,187,835 : x
  2. Step 2: Convert to fraction form
    549,464.25/1,187,835 = 1,187,835/x
  3. Step 3: Cross multiply
    549,464.25x = 1,187,835 × 1,187,835
  4. Step 4: Simplify right side
    549,464.25x = 1,410,951,987,225
  5. Step 5: Solve for x
    x = 1,410,951,987,225/549,464.25
  6. Step 6: Final answer
    x = 2,567,868.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.