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Finding the Third Proportional to 558,745 and 1,206,798

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Solution

The third proportional to 558,745 and 1,206,798 is: 2,606,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,745 : 1,206,798 = 1,206,798 : x
  2. Step 2: Convert to fraction form
    558,745/1,206,798 = 1,206,798/x
  3. Step 3: Cross multiply
    558,745x = 1,206,798 × 1,206,798
  4. Step 4: Simplify right side
    558,745x = 1,456,361,412,804
  5. Step 5: Solve for x
    x = 1,456,361,412,804/558,745
  6. Step 6: Final answer
    x = 2,606,486.70

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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.