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Finding the Third Proportional to 1,549,107 and 3,286,161

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Solution

The third proportional to 1,549,107 and 3,286,161 is: 6,971,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549,107 : 3,286,161 = 3,286,161 : x
  2. Step 2: Convert to fraction form
    1,549,107/3,286,161 = 3,286,161/x
  3. Step 3: Cross multiply
    1,549,107x = 3,286,161 × 3,286,161
  4. Step 4: Simplify right side
    1,549,107x = 10,798,854,117,921
  5. Step 5: Solve for x
    x = 10,798,854,117,921/1,549,107
  6. Step 6: Final answer
    x = 6,971,018.86

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.