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Finding the Third Proportional to 559,764 and 1,207,976

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Solution

The third proportional to 559,764 and 1,207,976 is: 2,606,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,764 : 1,207,976 = 1,207,976 : x
  2. Step 2: Convert to fraction form
    559,764/1,207,976 = 1,207,976/x
  3. Step 3: Cross multiply
    559,764x = 1,207,976 × 1,207,976
  4. Step 4: Simplify right side
    559,764x = 1,459,206,016,576
  5. Step 5: Solve for x
    x = 1,459,206,016,576/559,764
  6. Step 6: Final answer
    x = 2,606,823.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.