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Finding the Third Proportional to 609,200,159 and 941,745,778

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Solution

The third proportional to 609,200,159 and 941,745,778 is: 1,455,818,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,200,159 : 941,745,778 = 941,745,778 : x
  2. Step 2: Convert to fraction form
    609,200,159/941,745,778 = 941,745,778/x
  3. Step 3: Cross multiply
    609,200,159x = 941,745,778 × 941,745,778
  4. Step 4: Simplify right side
    609,200,159x = 886,885,110,380,825,344
  5. Step 5: Solve for x
    x = 886,885,110,380,825,344/609,200,159
  6. Step 6: Final answer
    x = 1,455,818,908.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.