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Finding the Third Proportional to 507,449 and 1,091,442

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Solution

The third proportional to 507,449 and 1,091,442 is: 2,347,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,449 : 1,091,442 = 1,091,442 : x
  2. Step 2: Convert to fraction form
    507,449/1,091,442 = 1,091,442/x
  3. Step 3: Cross multiply
    507,449x = 1,091,442 × 1,091,442
  4. Step 4: Simplify right side
    507,449x = 1,191,245,639,364
  5. Step 5: Solve for x
    x = 1,191,245,639,364/507,449
  6. Step 6: Final answer
    x = 2,347,517.96

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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.