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Finding the Third Proportional to 675,938.25 and 1,447,827.75

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Solution

The third proportional to 675,938.25 and 1,447,827.75 is: 3,101,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,938.25 : 1,447,827.75 = 1,447,827.75 : x
  2. Step 2: Convert to fraction form
    675,938.25/1,447,827.75 = 1,447,827.75/x
  3. Step 3: Cross multiply
    675,938.25x = 1,447,827.75 × 1,447,827.75
  4. Step 4: Simplify right side
    675,938.25x = 2,096,205,193,670.06
  5. Step 5: Solve for x
    x = 2,096,205,193,670.06/675,938.25
  6. Step 6: Final answer
    x = 3,101,178.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.