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Finding the Third Proportional to 947,040 and 2,080,704

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Solution

The third proportional to 947,040 and 2,080,704 is: 4,571,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,040 : 2,080,704 = 2,080,704 : x
  2. Step 2: Convert to fraction form
    947,040/2,080,704 = 2,080,704/x
  3. Step 3: Cross multiply
    947,040x = 2,080,704 × 2,080,704
  4. Step 4: Simplify right side
    947,040x = 4,329,329,135,616
  5. Step 5: Solve for x
    x = 4,329,329,135,616/947,040
  6. Step 6: Final answer
    x = 4,571,432.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.