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Finding the Third Proportional to 1,605,953.25 and 2,364,562.13

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Solution

The third proportional to 1,605,953.25 and 2,364,562.13 is: 3,481,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,953.25 : 2,364,562.13 = 2,364,562.13 : x
  2. Step 2: Convert to fraction form
    1,605,953.25/2,364,562.13 = 2,364,562.13/x
  3. Step 3: Cross multiply
    1,605,953.25x = 2,364,562.13 × 2,364,562.13
  4. Step 4: Simplify right side
    1,605,953.25x = 5,591,154,042,984.52
  5. Step 5: Solve for x
    x = 5,591,154,042,984.52/1,605,953.25
  6. Step 6: Final answer
    x = 3,481,517.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.