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Finding the Third Proportional to 783,110 and 1,690,636

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Solution

The third proportional to 783,110 and 1,690,636 is: 3,649,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,110 : 1,690,636 = 1,690,636 : x
  2. Step 2: Convert to fraction form
    783,110/1,690,636 = 1,690,636/x
  3. Step 3: Cross multiply
    783,110x = 1,690,636 × 1,690,636
  4. Step 4: Simplify right side
    783,110x = 2,858,250,084,496
  5. Step 5: Solve for x
    x = 2,858,250,084,496/783,110
  6. Step 6: Final answer
    x = 3,649,870.50

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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.