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Finding the Third Proportional to 803,416.50 and 1,101,660.75

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Solution

The third proportional to 803,416.50 and 1,101,660.75 is: 1,510,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,416.50 : 1,101,660.75 = 1,101,660.75 : x
  2. Step 2: Convert to fraction form
    803,416.50/1,101,660.75 = 1,101,660.75/x
  3. Step 3: Cross multiply
    803,416.50x = 1,101,660.75 × 1,101,660.75
  4. Step 4: Simplify right side
    803,416.50x = 1,213,656,408,090.56
  5. Step 5: Solve for x
    x = 1,213,656,408,090.56/803,416.50
  6. Step 6: Final answer
    x = 1,510,619.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.