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Finding the Third Proportional to 689,904 and 1,508,058

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Solution

The third proportional to 689,904 and 1,508,058 is: 3,296,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,904 : 1,508,058 = 1,508,058 : x
  2. Step 2: Convert to fraction form
    689,904/1,508,058 = 1,508,058/x
  3. Step 3: Cross multiply
    689,904x = 1,508,058 × 1,508,058
  4. Step 4: Simplify right side
    689,904x = 2,274,238,931,364
  5. Step 5: Solve for x
    x = 2,274,238,931,364/689,904
  6. Step 6: Final answer
    x = 3,296,457.09

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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.