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Finding the Third Proportional to 559,595.25 and 1,208,535.75

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Solution

The third proportional to 559,595.25 and 1,208,535.75 is: 2,610,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,595.25 : 1,208,535.75 = 1,208,535.75 : x
  2. Step 2: Convert to fraction form
    559,595.25/1,208,535.75 = 1,208,535.75/x
  3. Step 3: Cross multiply
    559,595.25x = 1,208,535.75 × 1,208,535.75
  4. Step 4: Simplify right side
    559,595.25x = 1,460,558,659,028.06
  5. Step 5: Solve for x
    x = 1,460,558,659,028.06/559,595.25
  6. Step 6: Final answer
    x = 2,610,026.91

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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.