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Finding the Third Proportional to 675,769 and 1,201,294

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Solution

The third proportional to 675,769 and 1,201,294 is: 2,135,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,769 : 1,201,294 = 1,201,294 : x
  2. Step 2: Convert to fraction form
    675,769/1,201,294 = 1,201,294/x
  3. Step 3: Cross multiply
    675,769x = 1,201,294 × 1,201,294
  4. Step 4: Simplify right side
    675,769x = 1,443,107,274,436
  5. Step 5: Solve for x
    x = 1,443,107,274,436/675,769
  6. Step 6: Final answer
    x = 2,135,503.81

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.