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Finding the Third Proportional to 386,972.44 and 826,913.81

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Solution

The third proportional to 386,972.44 and 826,913.81 is: 1,767,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,972.44 : 826,913.81 = 826,913.81 : x
  2. Step 2: Convert to fraction form
    386,972.44/826,913.81 = 826,913.81/x
  3. Step 3: Cross multiply
    386,972.44x = 826,913.81 × 826,913.81
  4. Step 4: Simplify right side
    386,972.44x = 683,786,453,303.29
  5. Step 5: Solve for x
    x = 683,786,453,303.29/386,972.44
  6. Step 6: Final answer
    x = 1,767,015.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.