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Finding the Third Proportional to 916,085.25 and 1,204,647.75

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Solution

The third proportional to 916,085.25 and 1,204,647.75 is: 1,584,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,085.25 : 1,204,647.75 = 1,204,647.75 : x
  2. Step 2: Convert to fraction form
    916,085.25/1,204,647.75 = 1,204,647.75/x
  3. Step 3: Cross multiply
    916,085.25x = 1,204,647.75 × 1,204,647.75
  4. Step 4: Simplify right side
    916,085.25x = 1,451,176,201,580.06
  5. Step 5: Solve for x
    x = 1,451,176,201,580.06/916,085.25
  6. Step 6: Final answer
    x = 1,584,106.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.