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Finding the Third Proportional to 587,580 and 1,285,869

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Solution

The third proportional to 587,580 and 1,285,869 is: 2,814,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,580 : 1,285,869 = 1,285,869 : x
  2. Step 2: Convert to fraction form
    587,580/1,285,869 = 1,285,869/x
  3. Step 3: Cross multiply
    587,580x = 1,285,869 × 1,285,869
  4. Step 4: Simplify right side
    587,580x = 1,653,459,085,161
  5. Step 5: Solve for x
    x = 1,653,459,085,161/587,580
  6. Step 6: Final answer
    x = 2,814,015.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.