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Finding the Third Proportional to 783,108 and 1,690,632

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Solution

The third proportional to 783,108 and 1,690,632 is: 3,649,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,108 : 1,690,632 = 1,690,632 : x
  2. Step 2: Convert to fraction form
    783,108/1,690,632 = 1,690,632/x
  3. Step 3: Cross multiply
    783,108x = 1,690,632 × 1,690,632
  4. Step 4: Simplify right side
    783,108x = 2,858,236,559,424
  5. Step 5: Solve for x
    x = 2,858,236,559,424/783,108
  6. Step 6: Final answer
    x = 3,649,862.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.