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Finding the Third Proportional to 1,159,100 and 2,489,596

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Solution

The third proportional to 1,159,100 and 2,489,596 is: 5,347,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,100 : 2,489,596 = 2,489,596 : x
  2. Step 2: Convert to fraction form
    1,159,100/2,489,596 = 2,489,596/x
  3. Step 3: Cross multiply
    1,159,100x = 2,489,596 × 2,489,596
  4. Step 4: Simplify right side
    1,159,100x = 6,198,088,243,216
  5. Step 5: Solve for x
    x = 6,198,088,243,216/1,159,100
  6. Step 6: Final answer
    x = 5,347,328.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.