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Finding the Third Proportional to 1,022,834 and 1,588,107

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Solution

The third proportional to 1,022,834 and 1,588,107 is: 2,465,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,834 : 1,588,107 = 1,588,107 : x
  2. Step 2: Convert to fraction form
    1,022,834/1,588,107 = 1,588,107/x
  3. Step 3: Cross multiply
    1,022,834x = 1,588,107 × 1,588,107
  4. Step 4: Simplify right side
    1,022,834x = 2,522,083,843,449
  5. Step 5: Solve for x
    x = 2,522,083,843,449/1,022,834
  6. Step 6: Final answer
    x = 2,465,780.22

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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.