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Finding the Third Proportional to 580,160 and 1,230,016

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Solution

The third proportional to 580,160 and 1,230,016 is: 2,607,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,160 : 1,230,016 = 1,230,016 : x
  2. Step 2: Convert to fraction form
    580,160/1,230,016 = 1,230,016/x
  3. Step 3: Cross multiply
    580,160x = 1,230,016 × 1,230,016
  4. Step 4: Simplify right side
    580,160x = 1,512,939,360,256
  5. Step 5: Solve for x
    x = 1,512,939,360,256/580,160
  6. Step 6: Final answer
    x = 2,607,796.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.