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Finding the Third Proportional to 719,742 and 1,548,456

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Solution

The third proportional to 719,742 and 1,548,456 is: 3,331,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,742 : 1,548,456 = 1,548,456 : x
  2. Step 2: Convert to fraction form
    719,742/1,548,456 = 1,548,456/x
  3. Step 3: Cross multiply
    719,742x = 1,548,456 × 1,548,456
  4. Step 4: Simplify right side
    719,742x = 2,397,715,983,936
  5. Step 5: Solve for x
    x = 2,397,715,983,936/719,742
  6. Step 6: Final answer
    x = 3,331,354.82

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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.