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Finding the Third Proportional to 769,199.63 and 1,683,379.13

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Solution

The third proportional to 769,199.63 and 1,683,379.13 is: 3,684,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,199.63 : 1,683,379.13 = 1,683,379.13 : x
  2. Step 2: Convert to fraction form
    769,199.63/1,683,379.13 = 1,683,379.13/x
  3. Step 3: Cross multiply
    769,199.63x = 1,683,379.13 × 1,683,379.13
  4. Step 4: Simplify right side
    769,199.63x = 2,833,765,278,485.77
  5. Step 5: Solve for x
    x = 2,833,765,278,485.77/769,199.63
  6. Step 6: Final answer
    x = 3,684,044.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.