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Finding the Third Proportional to 558,801 and 1,206,900

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Solution

The third proportional to 558,801 and 1,206,900 is: 2,606,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,801 : 1,206,900 = 1,206,900 : x
  2. Step 2: Convert to fraction form
    558,801/1,206,900 = 1,206,900/x
  3. Step 3: Cross multiply
    558,801x = 1,206,900 × 1,206,900
  4. Step 4: Simplify right side
    558,801x = 1,456,607,610,000
  5. Step 5: Solve for x
    x = 1,456,607,610,000/558,801
  6. Step 6: Final answer
    x = 2,606,666.08

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