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Finding the Third Proportional to 672,590 and 1,407,496

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Solution

The third proportional to 672,590 and 1,407,496 is: 2,945,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,590 : 1,407,496 = 1,407,496 : x
  2. Step 2: Convert to fraction form
    672,590/1,407,496 = 1,407,496/x
  3. Step 3: Cross multiply
    672,590x = 1,407,496 × 1,407,496
  4. Step 4: Simplify right side
    672,590x = 1,981,044,990,016
  5. Step 5: Solve for x
    x = 1,981,044,990,016/672,590
  6. Step 6: Final answer
    x = 2,945,397.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.