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Finding the Third Proportional to 689,411 and 1,029,945

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Solution

The third proportional to 689,411 and 1,029,945 is: 1,538,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,411 : 1,029,945 = 1,029,945 : x
  2. Step 2: Convert to fraction form
    689,411/1,029,945 = 1,029,945/x
  3. Step 3: Cross multiply
    689,411x = 1,029,945 × 1,029,945
  4. Step 4: Simplify right side
    689,411x = 1,060,786,703,025
  5. Step 5: Solve for x
    x = 1,060,786,703,025/689,411
  6. Step 6: Final answer
    x = 1,538,685.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.