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Finding the Third Proportional to 549,488 and 1,158,016

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Solution

The third proportional to 549,488 and 1,158,016 is: 2,440,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,488 : 1,158,016 = 1,158,016 : x
  2. Step 2: Convert to fraction form
    549,488/1,158,016 = 1,158,016/x
  3. Step 3: Cross multiply
    549,488x = 1,158,016 × 1,158,016
  4. Step 4: Simplify right side
    549,488x = 1,341,001,056,256
  5. Step 5: Solve for x
    x = 1,341,001,056,256/549,488
  6. Step 6: Final answer
    x = 2,440,455.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.