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Finding the Third Proportional to 784,269 and 1,104,408

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Solution

The third proportional to 784,269 and 1,104,408 is: 1,555,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,269 : 1,104,408 = 1,104,408 : x
  2. Step 2: Convert to fraction form
    784,269/1,104,408 = 1,104,408/x
  3. Step 3: Cross multiply
    784,269x = 1,104,408 × 1,104,408
  4. Step 4: Simplify right side
    784,269x = 1,219,717,030,464
  5. Step 5: Solve for x
    x = 1,219,717,030,464/784,269
  6. Step 6: Final answer
    x = 1,555,227.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.