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Finding the Third Proportional to 539,742 and 1,184,460

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Solution

The third proportional to 539,742 and 1,184,460 is: 2,599,289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,742 : 1,184,460 = 1,184,460 : x
  2. Step 2: Convert to fraction form
    539,742/1,184,460 = 1,184,460/x
  3. Step 3: Cross multiply
    539,742x = 1,184,460 × 1,184,460
  4. Step 4: Simplify right side
    539,742x = 1,402,945,491,600
  5. Step 5: Solve for x
    x = 1,402,945,491,600/539,742
  6. Step 6: Final answer
    x = 2,599,289.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.