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Finding the Third Proportional to 632,364 and 1,330,811

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Solution

The third proportional to 632,364 and 1,330,811 is: 2,800,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,364 : 1,330,811 = 1,330,811 : x
  2. Step 2: Convert to fraction form
    632,364/1,330,811 = 1,330,811/x
  3. Step 3: Cross multiply
    632,364x = 1,330,811 × 1,330,811
  4. Step 4: Simplify right side
    632,364x = 1,771,057,917,721
  5. Step 5: Solve for x
    x = 1,771,057,917,721/632,364
  6. Step 6: Final answer
    x = 2,800,693.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.