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Finding the Third Proportional to 549,086 and 1,203,148

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Solution

The third proportional to 549,086 and 1,203,148 is: 2,636,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,086 : 1,203,148 = 1,203,148 : x
  2. Step 2: Convert to fraction form
    549,086/1,203,148 = 1,203,148/x
  3. Step 3: Cross multiply
    549,086x = 1,203,148 × 1,203,148
  4. Step 4: Simplify right side
    549,086x = 1,447,565,109,904
  5. Step 5: Solve for x
    x = 1,447,565,109,904/549,086
  6. Step 6: Final answer
    x = 2,636,317.64

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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.