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Finding the Third Proportional to 507,744.28 and 1,094,835.66

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Solution

The third proportional to 507,744.28 and 1,094,835.66 is: 2,360,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,744.28 : 1,094,835.66 = 1,094,835.66 : x
  2. Step 2: Convert to fraction form
    507,744.28/1,094,835.66 = 1,094,835.66/x
  3. Step 3: Cross multiply
    507,744.28x = 1,094,835.66 × 1,094,835.66
  4. Step 4: Simplify right side
    507,744.28x = 1,198,665,114,196.37
  5. Step 5: Solve for x
    x = 1,198,665,114,196.37/507,744.28
  6. Step 6: Final answer
    x = 2,360,765.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.