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Finding the Third Proportional to 819,012 and 1,756,608

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Solution

The third proportional to 819,012 and 1,756,608 is: 3,767,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,012 : 1,756,608 = 1,756,608 : x
  2. Step 2: Convert to fraction form
    819,012/1,756,608 = 1,756,608/x
  3. Step 3: Cross multiply
    819,012x = 1,756,608 × 1,756,608
  4. Step 4: Simplify right side
    819,012x = 3,085,671,665,664
  5. Step 5: Solve for x
    x = 3,085,671,665,664/819,012
  6. Step 6: Final answer
    x = 3,767,553.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.