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Finding the Third Proportional to 539,922 and 1,181,526

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Solution

The third proportional to 539,922 and 1,181,526 is: 2,585,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,922 : 1,181,526 = 1,181,526 : x
  2. Step 2: Convert to fraction form
    539,922/1,181,526 = 1,181,526/x
  3. Step 3: Cross multiply
    539,922x = 1,181,526 × 1,181,526
  4. Step 4: Simplify right side
    539,922x = 1,396,003,688,676
  5. Step 5: Solve for x
    x = 1,396,003,688,676/539,922
  6. Step 6: Final answer
    x = 2,585,565.49

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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.