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Finding the Third Proportional to 492,163,338 and 719,559,993

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Solution

The third proportional to 492,163,338 and 719,559,993 is: 1,052,021,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,163,338 : 719,559,993 = 719,559,993 : x
  2. Step 2: Convert to fraction form
    492,163,338/719,559,993 = 719,559,993/x
  3. Step 3: Cross multiply
    492,163,338x = 719,559,993 × 719,559,993
  4. Step 4: Simplify right side
    492,163,338x = 517,766,583,526,160,064
  5. Step 5: Solve for x
    x = 517,766,583,526,160,064/492,163,338
  6. Step 6: Final answer
    x = 1,052,021,846.30

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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.