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Finding the Third Proportional to 507,441 and 1,091,427

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Solution

The third proportional to 507,441 and 1,091,427 is: 2,347,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,441 : 1,091,427 = 1,091,427 : x
  2. Step 2: Convert to fraction form
    507,441/1,091,427 = 1,091,427/x
  3. Step 3: Cross multiply
    507,441x = 1,091,427 × 1,091,427
  4. Step 4: Simplify right side
    507,441x = 1,191,212,896,329
  5. Step 5: Solve for x
    x = 1,191,212,896,329/507,441
  6. Step 6: Final answer
    x = 2,347,490.44

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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.