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Finding the Third Proportional to 415,507.13 and 893,077.13

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Solution

The third proportional to 415,507.13 and 893,077.13 is: 1,919,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,507.13 : 893,077.13 = 893,077.13 : x
  2. Step 2: Convert to fraction form
    415,507.13/893,077.13 = 893,077.13/x
  3. Step 3: Cross multiply
    415,507.13x = 893,077.13 × 893,077.13
  4. Step 4: Simplify right side
    415,507.13x = 797,586,751,198.27
  5. Step 5: Solve for x
    x = 797,586,751,198.27/415,507.13
  6. Step 6: Final answer
    x = 1,919,550.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.