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Finding the Third Proportional to 672,624 and 1,447,296

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Solution

The third proportional to 672,624 and 1,447,296 is: 3,114,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,624 : 1,447,296 = 1,447,296 : x
  2. Step 2: Convert to fraction form
    672,624/1,447,296 = 1,447,296/x
  3. Step 3: Cross multiply
    672,624x = 1,447,296 × 1,447,296
  4. Step 4: Simplify right side
    672,624x = 2,094,665,711,616
  5. Step 5: Solve for x
    x = 2,094,665,711,616/672,624
  6. Step 6: Final answer
    x = 3,114,170.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.