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Finding the Third Proportional to 476,509 and 929,073

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Solution

The third proportional to 476,509 and 929,073 is: 1,811,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,509 : 929,073 = 929,073 : x
  2. Step 2: Convert to fraction form
    476,509/929,073 = 929,073/x
  3. Step 3: Cross multiply
    476,509x = 929,073 × 929,073
  4. Step 4: Simplify right side
    476,509x = 863,176,639,329
  5. Step 5: Solve for x
    x = 863,176,639,329/476,509
  6. Step 6: Final answer
    x = 1,811,459.26

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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.