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Finding the Third Proportional to 591,964 and 1,278,515

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Solution

The third proportional to 591,964 and 1,278,515 is: 2,761,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,964 : 1,278,515 = 1,278,515 : x
  2. Step 2: Convert to fraction form
    591,964/1,278,515 = 1,278,515/x
  3. Step 3: Cross multiply
    591,964x = 1,278,515 × 1,278,515
  4. Step 4: Simplify right side
    591,964x = 1,634,600,605,225
  5. Step 5: Solve for x
    x = 1,634,600,605,225/591,964
  6. Step 6: Final answer
    x = 2,761,317.59

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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.