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Finding the Third Proportional to 1,921,189 and 4,127,296

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Solution

The third proportional to 1,921,189 and 4,127,296 is: 8,866,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,189 : 4,127,296 = 4,127,296 : x
  2. Step 2: Convert to fraction form
    1,921,189/4,127,296 = 4,127,296/x
  3. Step 3: Cross multiply
    1,921,189x = 4,127,296 × 4,127,296
  4. Step 4: Simplify right side
    1,921,189x = 17,034,572,271,616
  5. Step 5: Solve for x
    x = 17,034,572,271,616/1,921,189
  6. Step 6: Final answer
    x = 8,866,682.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.