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Finding the Third Proportional to 539,101,062 and 788,433,993

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Solution

The third proportional to 539,101,062 and 788,433,993 is: 1,153,082,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,101,062 : 788,433,993 = 788,433,993 : x
  2. Step 2: Convert to fraction form
    539,101,062/788,433,993 = 788,433,993/x
  3. Step 3: Cross multiply
    539,101,062x = 788,433,993 × 788,433,993
  4. Step 4: Simplify right side
    539,101,062x = 621,628,161,317,924,096
  5. Step 5: Solve for x
    x = 621,628,161,317,924,096/539,101,062
  6. Step 6: Final answer
    x = 1,153,082,798.63

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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.