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Finding the Third Proportional to 516,104.25 and 1,115,246.25

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Solution

The third proportional to 516,104.25 and 1,115,246.25 is: 2,409,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,104.25 : 1,115,246.25 = 1,115,246.25 : x
  2. Step 2: Convert to fraction form
    516,104.25/1,115,246.25 = 1,115,246.25/x
  3. Step 3: Cross multiply
    516,104.25x = 1,115,246.25 × 1,115,246.25
  4. Step 4: Simplify right side
    516,104.25x = 1,243,774,198,139.06
  5. Step 5: Solve for x
    x = 1,243,774,198,139.06/516,104.25
  6. Step 6: Final answer
    x = 2,409,928.22

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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.