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Finding the Third Proportional to 540,849 and 1,154,089

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Solution

The third proportional to 540,849 and 1,154,089 is: 2,462,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,849 : 1,154,089 = 1,154,089 : x
  2. Step 2: Convert to fraction form
    540,849/1,154,089 = 1,154,089/x
  3. Step 3: Cross multiply
    540,849x = 1,154,089 × 1,154,089
  4. Step 4: Simplify right side
    540,849x = 1,331,921,419,921
  5. Step 5: Solve for x
    x = 1,331,921,419,921/540,849
  6. Step 6: Final answer
    x = 2,462,649.32

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.