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Finding the Third Proportional to 749,620 and 1,639,041

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Solution

The third proportional to 749,620 and 1,639,041 is: 3,583,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,620 : 1,639,041 = 1,639,041 : x
  2. Step 2: Convert to fraction form
    749,620/1,639,041 = 1,639,041/x
  3. Step 3: Cross multiply
    749,620x = 1,639,041 × 1,639,041
  4. Step 4: Simplify right side
    749,620x = 2,686,455,399,681
  5. Step 5: Solve for x
    x = 2,686,455,399,681/749,620
  6. Step 6: Final answer
    x = 3,583,756.30

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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.