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Finding the Third Proportional to 546,837.75 and 1,128,584.25

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Solution

The third proportional to 546,837.75 and 1,128,584.25 is: 2,329,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,837.75 : 1,128,584.25 = 1,128,584.25 : x
  2. Step 2: Convert to fraction form
    546,837.75/1,128,584.25 = 1,128,584.25/x
  3. Step 3: Cross multiply
    546,837.75x = 1,128,584.25 × 1,128,584.25
  4. Step 4: Simplify right side
    546,837.75x = 1,273,702,409,348.06
  5. Step 5: Solve for x
    x = 1,273,702,409,348.06/546,837.75
  6. Step 6: Final answer
    x = 2,329,214.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.