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Finding the Third Proportional to 650,608 and 1,384,160

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Solution

The third proportional to 650,608 and 1,384,160 is: 2,944,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,608 : 1,384,160 = 1,384,160 : x
  2. Step 2: Convert to fraction form
    650,608/1,384,160 = 1,384,160/x
  3. Step 3: Cross multiply
    650,608x = 1,384,160 × 1,384,160
  4. Step 4: Simplify right side
    650,608x = 1,915,898,905,600
  5. Step 5: Solve for x
    x = 1,915,898,905,600/650,608
  6. Step 6: Final answer
    x = 2,944,782.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.