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Finding the Third Proportional to 819,807 and 1,728,735

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Solution

The third proportional to 819,807 and 1,728,735 is: 3,645,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,807 : 1,728,735 = 1,728,735 : x
  2. Step 2: Convert to fraction form
    819,807/1,728,735 = 1,728,735/x
  3. Step 3: Cross multiply
    819,807x = 1,728,735 × 1,728,735
  4. Step 4: Simplify right side
    819,807x = 2,988,524,700,225
  5. Step 5: Solve for x
    x = 2,988,524,700,225/819,807
  6. Step 6: Final answer
    x = 3,645,400.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.