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Finding the Third Proportional to 485,538,761 and 709,874,647

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Solution

The third proportional to 485,538,761 and 709,874,647 is: 1,037,861,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,538,761 : 709,874,647 = 709,874,647 : x
  2. Step 2: Convert to fraction form
    485,538,761/709,874,647 = 709,874,647/x
  3. Step 3: Cross multiply
    485,538,761x = 709,874,647 × 709,874,647
  4. Step 4: Simplify right side
    485,538,761x = 503,922,014,453,374,592
  5. Step 5: Solve for x
    x = 503,922,014,453,374,592/485,538,761
  6. Step 6: Final answer
    x = 1,037,861,556.95

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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.