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Finding the Third Proportional to 658,589,670 and 1,300,523,141

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Solution

The third proportional to 658,589,670 and 1,300,523,141 is: 2,568,155,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,589,670 : 1,300,523,141 = 1,300,523,141 : x
  2. Step 2: Convert to fraction form
    658,589,670/1,300,523,141 = 1,300,523,141/x
  3. Step 3: Cross multiply
    658,589,670x = 1,300,523,141 × 1,300,523,141
  4. Step 4: Simplify right side
    658,589,670x = 1,691,360,440,276,505,856
  5. Step 5: Solve for x
    x = 1,691,360,440,276,505,856/658,589,670
  6. Step 6: Final answer
    x = 2,568,155,131.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.