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Finding the Third Proportional to 493,500,309 and 766,606,611

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Solution

The third proportional to 493,500,309 and 766,606,611 is: 1,190,851,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,500,309 : 766,606,611 = 766,606,611 : x
  2. Step 2: Convert to fraction form
    493,500,309/766,606,611 = 766,606,611/x
  3. Step 3: Cross multiply
    493,500,309x = 766,606,611 × 766,606,611
  4. Step 4: Simplify right side
    493,500,309x = 587,685,696,028,905,344
  5. Step 5: Solve for x
    x = 587,685,696,028,905,344/493,500,309
  6. Step 6: Final answer
    x = 1,190,851,728.58

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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.