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Finding the Third Proportional to 730,760 and 1,093,160

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Solution

The third proportional to 730,760 and 1,093,160 is: 1,635,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,760 : 1,093,160 = 1,093,160 : x
  2. Step 2: Convert to fraction form
    730,760/1,093,160 = 1,093,160/x
  3. Step 3: Cross multiply
    730,760x = 1,093,160 × 1,093,160
  4. Step 4: Simplify right side
    730,760x = 1,194,998,785,600
  5. Step 5: Solve for x
    x = 1,194,998,785,600/730,760
  6. Step 6: Final answer
    x = 1,635,282.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.