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Finding the Third Proportional to 507,440 and 1,091,425

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Solution

The third proportional to 507,440 and 1,091,425 is: 2,347,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,440 : 1,091,425 = 1,091,425 : x
  2. Step 2: Convert to fraction form
    507,440/1,091,425 = 1,091,425/x
  3. Step 3: Cross multiply
    507,440x = 1,091,425 × 1,091,425
  4. Step 4: Simplify right side
    507,440x = 1,191,208,530,625
  5. Step 5: Solve for x
    x = 1,191,208,530,625/507,440
  6. Step 6: Final answer
    x = 2,347,486.46

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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.