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Finding the Third Proportional to 829,822 and 1,810,447

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Solution

The third proportional to 829,822 and 1,810,447 is: 3,949,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,822 : 1,810,447 = 1,810,447 : x
  2. Step 2: Convert to fraction form
    829,822/1,810,447 = 1,810,447/x
  3. Step 3: Cross multiply
    829,822x = 1,810,447 × 1,810,447
  4. Step 4: Simplify right side
    829,822x = 3,277,718,339,809
  5. Step 5: Solve for x
    x = 3,277,718,339,809/829,822
  6. Step 6: Final answer
    x = 3,949,905.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.