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Finding the Third Proportional to 306,810,342 and 659,156,922

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Solution

The third proportional to 306,810,342 and 659,156,922 is: 1,416,144,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,810,342 : 659,156,922 = 659,156,922 : x
  2. Step 2: Convert to fraction form
    306,810,342/659,156,922 = 659,156,922/x
  3. Step 3: Cross multiply
    306,810,342x = 659,156,922 × 659,156,922
  4. Step 4: Simplify right side
    306,810,342x = 434,487,847,820,514,112
  5. Step 5: Solve for x
    x = 434,487,847,820,514,112/306,810,342
  6. Step 6: Final answer
    x = 1,416,144,726.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.