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Finding the Third Proportional to 2,005,680 and 4,291,296

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Solution

The third proportional to 2,005,680 and 4,291,296 is: 9,181,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,680 : 4,291,296 = 4,291,296 : x
  2. Step 2: Convert to fraction form
    2,005,680/4,291,296 = 4,291,296/x
  3. Step 3: Cross multiply
    2,005,680x = 4,291,296 × 4,291,296
  4. Step 4: Simplify right side
    2,005,680x = 18,415,221,359,616
  5. Step 5: Solve for x
    x = 18,415,221,359,616/2,005,680
  6. Step 6: Final answer
    x = 9,181,535.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.