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Finding the Third Proportional to 766,161 and 1,554,210

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Solution

The third proportional to 766,161 and 1,554,210 is: 3,152,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,161 : 1,554,210 = 1,554,210 : x
  2. Step 2: Convert to fraction form
    766,161/1,554,210 = 1,554,210/x
  3. Step 3: Cross multiply
    766,161x = 1,554,210 × 1,554,210
  4. Step 4: Simplify right side
    766,161x = 2,415,568,724,100
  5. Step 5: Solve for x
    x = 2,415,568,724,100/766,161
  6. Step 6: Final answer
    x = 3,152,821.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.