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Finding the Third Proportional to 539,786 and 809,787

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Solution

The third proportional to 539,786 and 809,787 is: 1,214,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,786 : 809,787 = 809,787 : x
  2. Step 2: Convert to fraction form
    539,786/809,787 = 809,787/x
  3. Step 3: Cross multiply
    539,786x = 809,787 × 809,787
  4. Step 4: Simplify right side
    539,786x = 655,754,985,369
  5. Step 5: Solve for x
    x = 655,754,985,369/539,786
  6. Step 6: Final answer
    x = 1,214,842.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.