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Finding the Third Proportional to 1,022,328 and 1,581,336

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Solution

The third proportional to 1,022,328 and 1,581,336 is: 2,446,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,328 : 1,581,336 = 1,581,336 : x
  2. Step 2: Convert to fraction form
    1,022,328/1,581,336 = 1,581,336/x
  3. Step 3: Cross multiply
    1,022,328x = 1,581,336 × 1,581,336
  4. Step 4: Simplify right side
    1,022,328x = 2,500,623,544,896
  5. Step 5: Solve for x
    x = 2,500,623,544,896/1,022,328
  6. Step 6: Final answer
    x = 2,446,009.05

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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.