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Finding the Third Proportional to 689,898 and 1,508,046

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Solution

The third proportional to 689,898 and 1,508,046 is: 3,296,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,898 : 1,508,046 = 1,508,046 : x
  2. Step 2: Convert to fraction form
    689,898/1,508,046 = 1,508,046/x
  3. Step 3: Cross multiply
    689,898x = 1,508,046 × 1,508,046
  4. Step 4: Simplify right side
    689,898x = 2,274,202,738,116
  5. Step 5: Solve for x
    x = 2,274,202,738,116/689,898
  6. Step 6: Final answer
    x = 3,296,433.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.