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Finding the Third Proportional to 829,524 and 1,819,752

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Solution

The third proportional to 829,524 and 1,819,752 is: 3,992,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,524 : 1,819,752 = 1,819,752 : x
  2. Step 2: Convert to fraction form
    829,524/1,819,752 = 1,819,752/x
  3. Step 3: Cross multiply
    829,524x = 1,819,752 × 1,819,752
  4. Step 4: Simplify right side
    829,524x = 3,311,497,341,504
  5. Step 5: Solve for x
    x = 3,311,497,341,504/829,524
  6. Step 6: Final answer
    x = 3,992,045.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.