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Finding the Third Proportional to 2,091,892.13 and 3,230,107.13

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Solution

The third proportional to 2,091,892.13 and 3,230,107.13 is: 4,987,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,892.13 : 3,230,107.13 = 3,230,107.13 : x
  2. Step 2: Convert to fraction form
    2,091,892.13/3,230,107.13 = 3,230,107.13/x
  3. Step 3: Cross multiply
    2,091,892.13x = 3,230,107.13 × 3,230,107.13
  4. Step 4: Simplify right side
    2,091,892.13x = 10,433,592,038,975.77
  5. Step 5: Solve for x
    x = 10,433,592,038,975.77/2,091,892.13
  6. Step 6: Final answer
    x = 4,987,633.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.