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Finding the Third Proportional to 1,030,834 and 1,451,643

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Solution

The third proportional to 1,030,834 and 1,451,643 is: 2,044,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,834 : 1,451,643 = 1,451,643 : x
  2. Step 2: Convert to fraction form
    1,030,834/1,451,643 = 1,451,643/x
  3. Step 3: Cross multiply
    1,030,834x = 1,451,643 × 1,451,643
  4. Step 4: Simplify right side
    1,030,834x = 2,107,267,399,449
  5. Step 5: Solve for x
    x = 2,107,267,399,449/1,030,834
  6. Step 6: Final answer
    x = 2,044,235.44

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.