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Finding the Third Proportional to 380,940 and 819,210

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Solution

The third proportional to 380,940 and 819,210 is: 1,761,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,940 : 819,210 = 819,210 : x
  2. Step 2: Convert to fraction form
    380,940/819,210 = 819,210/x
  3. Step 3: Cross multiply
    380,940x = 819,210 × 819,210
  4. Step 4: Simplify right side
    380,940x = 671,105,024,100
  5. Step 5: Solve for x
    x = 671,105,024,100/380,940
  6. Step 6: Final answer
    x = 1,761,707.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.