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Finding the Third Proportional to 636,884 and 929,071

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Solution

The third proportional to 636,884 and 929,071 is: 1,355,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,884 : 929,071 = 929,071 : x
  2. Step 2: Convert to fraction form
    636,884/929,071 = 929,071/x
  3. Step 3: Cross multiply
    636,884x = 929,071 × 929,071
  4. Step 4: Simplify right side
    636,884x = 863,172,923,041
  5. Step 5: Solve for x
    x = 863,172,923,041/636,884
  6. Step 6: Final answer
    x = 1,355,306.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.