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Finding the Third Proportional to 580,186 and 1,266,644

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Solution

The third proportional to 580,186 and 1,266,644 is: 2,765,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,186 : 1,266,644 = 1,266,644 : x
  2. Step 2: Convert to fraction form
    580,186/1,266,644 = 1,266,644/x
  3. Step 3: Cross multiply
    580,186x = 1,266,644 × 1,266,644
  4. Step 4: Simplify right side
    580,186x = 1,604,387,022,736
  5. Step 5: Solve for x
    x = 1,604,387,022,736/580,186
  6. Step 6: Final answer
    x = 2,765,297.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.