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Finding the Third Proportional to 959,238 and 1,407,753

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Solution

The third proportional to 959,238 and 1,407,753 is: 2,065,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,238 : 1,407,753 = 1,407,753 : x
  2. Step 2: Convert to fraction form
    959,238/1,407,753 = 1,407,753/x
  3. Step 3: Cross multiply
    959,238x = 1,407,753 × 1,407,753
  4. Step 4: Simplify right side
    959,238x = 1,981,768,509,009
  5. Step 5: Solve for x
    x = 1,981,768,509,009/959,238
  6. Step 6: Final answer
    x = 2,065,982.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.