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Finding the Third Proportional to 374,978 and 884,636

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Solution

The third proportional to 374,978 and 884,636 is: 2,087,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,978 : 884,636 = 884,636 : x
  2. Step 2: Convert to fraction form
    374,978/884,636 = 884,636/x
  3. Step 3: Cross multiply
    374,978x = 884,636 × 884,636
  4. Step 4: Simplify right side
    374,978x = 782,580,852,496
  5. Step 5: Solve for x
    x = 782,580,852,496/374,978
  6. Step 6: Final answer
    x = 2,087,004.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.