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Finding the Third Proportional to 549,569 and 1,158,174

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Solution

The third proportional to 549,569 and 1,158,174 is: 2,440,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,569 : 1,158,174 = 1,158,174 : x
  2. Step 2: Convert to fraction form
    549,569/1,158,174 = 1,158,174/x
  3. Step 3: Cross multiply
    549,569x = 1,158,174 × 1,158,174
  4. Step 4: Simplify right side
    549,569x = 1,341,367,014,276
  5. Step 5: Solve for x
    x = 1,341,367,014,276/549,569
  6. Step 6: Final answer
    x = 2,440,761.79

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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.