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Finding the Third Proportional to 719,822 and 1,544,377

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Solution

The third proportional to 719,822 and 1,544,377 is: 3,313,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,822 : 1,544,377 = 1,544,377 : x
  2. Step 2: Convert to fraction form
    719,822/1,544,377 = 1,544,377/x
  3. Step 3: Cross multiply
    719,822x = 1,544,377 × 1,544,377
  4. Step 4: Simplify right side
    719,822x = 2,385,100,318,129
  5. Step 5: Solve for x
    x = 2,385,100,318,129/719,822
  6. Step 6: Final answer
    x = 3,313,458.49

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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.