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Finding the Third Proportional to 546,216 and 1,118,670

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Solution

The third proportional to 546,216 and 1,118,670 is: 2,291,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,216 : 1,118,670 = 1,118,670 : x
  2. Step 2: Convert to fraction form
    546,216/1,118,670 = 1,118,670/x
  3. Step 3: Cross multiply
    546,216x = 1,118,670 × 1,118,670
  4. Step 4: Simplify right side
    546,216x = 1,251,422,568,900
  5. Step 5: Solve for x
    x = 1,251,422,568,900/546,216
  6. Step 6: Final answer
    x = 2,291,076.37

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.