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Finding the Third Proportional to 481,822 and 749,411

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Solution

The third proportional to 481,822 and 749,411 is: 1,165,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,822 : 749,411 = 749,411 : x
  2. Step 2: Convert to fraction form
    481,822/749,411 = 749,411/x
  3. Step 3: Cross multiply
    481,822x = 749,411 × 749,411
  4. Step 4: Simplify right side
    481,822x = 561,616,846,921
  5. Step 5: Solve for x
    x = 561,616,846,921/481,822
  6. Step 6: Final answer
    x = 1,165,610.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.