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Finding the Third Proportional to 389,040 and 915,960

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Solution

The third proportional to 389,040 and 915,960 is: 2,156,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,040 : 915,960 = 915,960 : x
  2. Step 2: Convert to fraction form
    389,040/915,960 = 915,960/x
  3. Step 3: Cross multiply
    389,040x = 915,960 × 915,960
  4. Step 4: Simplify right side
    389,040x = 838,982,721,600
  5. Step 5: Solve for x
    x = 838,982,721,600/389,040
  6. Step 6: Final answer
    x = 2,156,546.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.