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Finding the Third Proportional to 1,019,382 and 1,425,777

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Solution

The third proportional to 1,019,382 and 1,425,777 is: 1,994,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,382 : 1,425,777 = 1,425,777 : x
  2. Step 2: Convert to fraction form
    1,019,382/1,425,777 = 1,425,777/x
  3. Step 3: Cross multiply
    1,019,382x = 1,425,777 × 1,425,777
  4. Step 4: Simplify right side
    1,019,382x = 2,032,840,053,729
  5. Step 5: Solve for x
    x = 2,032,840,053,729/1,019,382
  6. Step 6: Final answer
    x = 1,994,188.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.