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Finding the Third Proportional to 507,446.50 and 1,091,438

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Solution

The third proportional to 507,446.50 and 1,091,438 is: 2,347,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,446.50 : 1,091,438 = 1,091,438 : x
  2. Step 2: Convert to fraction form
    507,446.50/1,091,438 = 1,091,438/x
  3. Step 3: Cross multiply
    507,446.50x = 1,091,438 × 1,091,438
  4. Step 4: Simplify right side
    507,446.50x = 1,191,236,907,844
  5. Step 5: Solve for x
    x = 1,191,236,907,844/507,446.50
  6. Step 6: Final answer
    x = 2,347,512.31

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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.