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Finding the Third Proportional to 492,163,353 and 719,560,017

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Solution

The third proportional to 492,163,353 and 719,560,017 is: 1,052,021,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,163,353 : 719,560,017 = 719,560,017 : x
  2. Step 2: Convert to fraction form
    492,163,353/719,560,017 = 719,560,017/x
  3. Step 3: Cross multiply
    492,163,353x = 719,560,017 × 719,560,017
  4. Step 4: Simplify right side
    492,163,353x = 517,766,618,065,040,320
  5. Step 5: Solve for x
    x = 517,766,618,065,040,320/492,163,353
  6. Step 6: Final answer
    x = 1,052,021,884.42

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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.