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Finding the Third Proportional to 1,005,093.56 and 2,167,651.13

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Solution

The third proportional to 1,005,093.56 and 2,167,651.13 is: 4,674,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,093.56 : 2,167,651.13 = 2,167,651.13 : x
  2. Step 2: Convert to fraction form
    1,005,093.56/2,167,651.13 = 2,167,651.13/x
  3. Step 3: Cross multiply
    1,005,093.56x = 2,167,651.13 × 2,167,651.13
  4. Step 4: Simplify right side
    1,005,093.56x = 4,698,711,399,713.77
  5. Step 5: Solve for x
    x = 4,698,711,399,713.77/1,005,093.56
  6. Step 6: Final answer
    x = 4,674,899.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.