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Finding the Third Proportional to 693,460,584 and 950,902,950

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Solution

The third proportional to 693,460,584 and 950,902,950 is: 1,303,918,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,460,584 : 950,902,950 = 950,902,950 : x
  2. Step 2: Convert to fraction form
    693,460,584/950,902,950 = 950,902,950/x
  3. Step 3: Cross multiply
    693,460,584x = 950,902,950 × 950,902,950
  4. Step 4: Simplify right side
    693,460,584x = 904,216,420,318,702,464
  5. Step 5: Solve for x
    x = 904,216,420,318,702,464/693,460,584
  6. Step 6: Final answer
    x = 1,303,918,984.27

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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.