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Finding the Third Proportional to 558,997 and 1,206,507

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Solution

The third proportional to 558,997 and 1,206,507 is: 2,604,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,997 : 1,206,507 = 1,206,507 : x
  2. Step 2: Convert to fraction form
    558,997/1,206,507 = 1,206,507/x
  3. Step 3: Cross multiply
    558,997x = 1,206,507 × 1,206,507
  4. Step 4: Simplify right side
    558,997x = 1,455,659,141,049
  5. Step 5: Solve for x
    x = 1,455,659,141,049/558,997
  6. Step 6: Final answer
    x = 2,604,055.37

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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.