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Finding the Third Proportional to 437,644 and 942,246

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Solution

The third proportional to 437,644 and 942,246 is: 2,028,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,644 : 942,246 = 942,246 : x
  2. Step 2: Convert to fraction form
    437,644/942,246 = 942,246/x
  3. Step 3: Cross multiply
    437,644x = 942,246 × 942,246
  4. Step 4: Simplify right side
    437,644x = 887,827,524,516
  5. Step 5: Solve for x
    x = 887,827,524,516/437,644
  6. Step 6: Final answer
    x = 2,028,652.34

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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.