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Finding the Third Proportional to 503,749.13 and 1,064,355.75

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Solution

The third proportional to 503,749.13 and 1,064,355.75 is: 2,248,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,749.13 : 1,064,355.75 = 1,064,355.75 : x
  2. Step 2: Convert to fraction form
    503,749.13/1,064,355.75 = 1,064,355.75/x
  3. Step 3: Cross multiply
    503,749.13x = 1,064,355.75 × 1,064,355.75
  4. Step 4: Simplify right side
    503,749.13x = 1,132,853,162,558.06
  5. Step 5: Solve for x
    x = 1,132,853,162,558.06/503,749.13
  6. Step 6: Final answer
    x = 2,248,843.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.