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Finding the Third Proportional to 658,245,745 and 902,614,844

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Solution

The third proportional to 658,245,745 and 902,614,844 is: 1,237,704,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,245,745 : 902,614,844 = 902,614,844 : x
  2. Step 2: Convert to fraction form
    658,245,745/902,614,844 = 902,614,844/x
  3. Step 3: Cross multiply
    658,245,745x = 902,614,844 × 902,614,844
  4. Step 4: Simplify right side
    658,245,745x = 814,713,556,609,144,320
  5. Step 5: Solve for x
    x = 814,713,556,609,144,320/658,245,745
  6. Step 6: Final answer
    x = 1,237,704,250.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.