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Finding the Third Proportional to 719,828 and 1,544,392

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Solution

The third proportional to 719,828 and 1,544,392 is: 3,313,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,828 : 1,544,392 = 1,544,392 : x
  2. Step 2: Convert to fraction form
    719,828/1,544,392 = 1,544,392/x
  3. Step 3: Cross multiply
    719,828x = 1,544,392 × 1,544,392
  4. Step 4: Simplify right side
    719,828x = 2,385,146,649,664
  5. Step 5: Solve for x
    x = 2,385,146,649,664/719,828
  6. Step 6: Final answer
    x = 3,313,495.24

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Why These Related Problems?

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