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Finding the Third Proportional to 476,511 and 929,077

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Solution

The third proportional to 476,511 and 929,077 is: 1,811,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,511 : 929,077 = 929,077 : x
  2. Step 2: Convert to fraction form
    476,511/929,077 = 929,077/x
  3. Step 3: Cross multiply
    476,511x = 929,077 × 929,077
  4. Step 4: Simplify right side
    476,511x = 863,184,071,929
  5. Step 5: Solve for x
    x = 863,184,071,929/476,511
  6. Step 6: Final answer
    x = 1,811,467.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.