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Finding the Third Proportional to 771,456 and 1,580,496

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Solution

The third proportional to 771,456 and 1,580,496 is: 3,237,991.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,456 : 1,580,496 = 1,580,496 : x
  2. Step 2: Convert to fraction form
    771,456/1,580,496 = 1,580,496/x
  3. Step 3: Cross multiply
    771,456x = 1,580,496 × 1,580,496
  4. Step 4: Simplify right side
    771,456x = 2,497,967,606,016
  5. Step 5: Solve for x
    x = 2,497,967,606,016/771,456
  6. Step 6: Final answer
    x = 3,237,991.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.