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Finding the Third Proportional to 471,511 and 964,811

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Solution

The third proportional to 471,511 and 964,811 is: 1,974,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,511 : 964,811 = 964,811 : x
  2. Step 2: Convert to fraction form
    471,511/964,811 = 964,811/x
  3. Step 3: Cross multiply
    471,511x = 964,811 × 964,811
  4. Step 4: Simplify right side
    471,511x = 930,860,265,721
  5. Step 5: Solve for x
    x = 930,860,265,721/471,511
  6. Step 6: Final answer
    x = 1,974,206.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.