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Finding the Third Proportional to 437,648 and 942,248

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Solution

The third proportional to 437,648 and 942,248 is: 2,028,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,648 : 942,248 = 942,248 : x
  2. Step 2: Convert to fraction form
    437,648/942,248 = 942,248/x
  3. Step 3: Cross multiply
    437,648x = 942,248 × 942,248
  4. Step 4: Simplify right side
    437,648x = 887,831,293,504
  5. Step 5: Solve for x
    x = 887,831,293,504/437,648
  6. Step 6: Final answer
    x = 2,028,642.41

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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.