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Finding the Third Proportional to 549,897.19 and 1,150,066.69

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Solution

The third proportional to 549,897.19 and 1,150,066.69 is: 2,405,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,897.19 : 1,150,066.69 = 1,150,066.69 : x
  2. Step 2: Convert to fraction form
    549,897.19/1,150,066.69 = 1,150,066.69/x
  3. Step 3: Cross multiply
    549,897.19x = 1,150,066.69 × 1,150,066.69
  4. Step 4: Simplify right side
    549,897.19x = 1,322,653,385,697.22
  5. Step 5: Solve for x
    x = 1,322,653,385,697.22/549,897.19
  6. Step 6: Final answer
    x = 2,405,273.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.