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Finding the Third Proportional to 590,892 and 1,296,670

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Solution

The third proportional to 590,892 and 1,296,670 is: 2,845,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,892 : 1,296,670 = 1,296,670 : x
  2. Step 2: Convert to fraction form
    590,892/1,296,670 = 1,296,670/x
  3. Step 3: Cross multiply
    590,892x = 1,296,670 × 1,296,670
  4. Step 4: Simplify right side
    590,892x = 1,681,353,088,900
  5. Step 5: Solve for x
    x = 1,681,353,088,900/590,892
  6. Step 6: Final answer
    x = 2,845,449.06

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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.