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Finding the Third Proportional to 1,011,441.94 and 2,151,608.06

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Solution

The third proportional to 1,011,441.94 and 2,151,608.06 is: 4,577,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,441.94 : 2,151,608.06 = 2,151,608.06 : x
  2. Step 2: Convert to fraction form
    1,011,441.94/2,151,608.06 = 2,151,608.06/x
  3. Step 3: Cross multiply
    1,011,441.94x = 2,151,608.06 × 2,151,608.06
  4. Step 4: Simplify right side
    1,011,441.94x = 4,629,417,254,615.00
  5. Step 5: Solve for x
    x = 4,629,417,254,615.00/1,011,441.94
  6. Step 6: Final answer
    x = 4,577,046.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.