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Finding the Third Proportional to 438,438 and 942,144

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Solution

The third proportional to 438,438 and 942,144 is: 2,024,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,438 : 942,144 = 942,144 : x
  2. Step 2: Convert to fraction form
    438,438/942,144 = 942,144/x
  3. Step 3: Cross multiply
    438,438x = 942,144 × 942,144
  4. Step 4: Simplify right side
    438,438x = 887,635,316,736
  5. Step 5: Solve for x
    x = 887,635,316,736/438,438
  6. Step 6: Final answer
    x = 2,024,540.11

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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.