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Finding the Third Proportional to 581,475 and 1,231,995

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Solution

The third proportional to 581,475 and 1,231,995 is: 2,610,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,475 : 1,231,995 = 1,231,995 : x
  2. Step 2: Convert to fraction form
    581,475/1,231,995 = 1,231,995/x
  3. Step 3: Cross multiply
    581,475x = 1,231,995 × 1,231,995
  4. Step 4: Simplify right side
    581,475x = 1,517,811,680,025
  5. Step 5: Solve for x
    x = 1,517,811,680,025/581,475
  6. Step 6: Final answer
    x = 2,610,278.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.