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Finding the Third Proportional to 766,100 and 1,554,088

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Solution

The third proportional to 766,100 and 1,554,088 is: 3,152,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,100 : 1,554,088 = 1,554,088 : x
  2. Step 2: Convert to fraction form
    766,100/1,554,088 = 1,554,088/x
  3. Step 3: Cross multiply
    766,100x = 1,554,088 × 1,554,088
  4. Step 4: Simplify right side
    766,100x = 2,415,189,511,744
  5. Step 5: Solve for x
    x = 2,415,189,511,744/766,100
  6. Step 6: Final answer
    x = 3,152,577.36

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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.