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Finding the Third Proportional to 539,756 and 1,184,488

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Solution

The third proportional to 539,756 and 1,184,488 is: 2,599,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,756 : 1,184,488 = 1,184,488 : x
  2. Step 2: Convert to fraction form
    539,756/1,184,488 = 1,184,488/x
  3. Step 3: Cross multiply
    539,756x = 1,184,488 × 1,184,488
  4. Step 4: Simplify right side
    539,756x = 1,403,011,822,144
  5. Step 5: Solve for x
    x = 1,403,011,822,144/539,756
  6. Step 6: Final answer
    x = 2,599,344.56

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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.