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Finding the Third Proportional to 1,159,200 and 2,489,784

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Solution

The third proportional to 1,159,200 and 2,489,784 is: 5,347,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,200 : 2,489,784 = 2,489,784 : x
  2. Step 2: Convert to fraction form
    1,159,200/2,489,784 = 2,489,784/x
  3. Step 3: Cross multiply
    1,159,200x = 2,489,784 × 2,489,784
  4. Step 4: Simplify right side
    1,159,200x = 6,199,024,366,656
  5. Step 5: Solve for x
    x = 6,199,024,366,656/1,159,200
  6. Step 6: Final answer
    x = 5,347,674.57

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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.