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Finding the Third Proportional to 436,518 and 964,808

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Solution

The third proportional to 436,518 and 964,808 is: 2,132,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,518 : 964,808 = 964,808 : x
  2. Step 2: Convert to fraction form
    436,518/964,808 = 964,808/x
  3. Step 3: Cross multiply
    436,518x = 964,808 × 964,808
  4. Step 4: Simplify right side
    436,518x = 930,854,476,864
  5. Step 5: Solve for x
    x = 930,854,476,864/436,518
  6. Step 6: Final answer
    x = 2,132,453.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.