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Finding the Third Proportional to 1,891,760 and 4,151,422.50

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Solution

The third proportional to 1,891,760 and 4,151,422.50 is: 9,110,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,760 : 4,151,422.50 = 4,151,422.50 : x
  2. Step 2: Convert to fraction form
    1,891,760/4,151,422.50 = 4,151,422.50/x
  3. Step 3: Cross multiply
    1,891,760x = 4,151,422.50 × 4,151,422.50
  4. Step 4: Simplify right side
    1,891,760x = 17,234,308,773,506.25
  5. Step 5: Solve for x
    x = 17,234,308,773,506.25/1,891,760
  6. Step 6: Final answer
    x = 9,110,198.32

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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.