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Finding the Third Proportional to 819,219 and 1,271,961

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Solution

The third proportional to 819,219 and 1,271,961 is: 1,974,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,219 : 1,271,961 = 1,271,961 : x
  2. Step 2: Convert to fraction form
    819,219/1,271,961 = 1,271,961/x
  3. Step 3: Cross multiply
    819,219x = 1,271,961 × 1,271,961
  4. Step 4: Simplify right side
    819,219x = 1,617,884,785,521
  5. Step 5: Solve for x
    x = 1,617,884,785,521/819,219
  6. Step 6: Final answer
    x = 1,974,911.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.