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Finding the Third Proportional to 502,889,372 and 751,237,122

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Solution

The third proportional to 502,889,372 and 751,237,122 is: 1,122,229,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,889,372 : 751,237,122 = 751,237,122 : x
  2. Step 2: Convert to fraction form
    502,889,372/751,237,122 = 751,237,122/x
  3. Step 3: Cross multiply
    502,889,372x = 751,237,122 × 751,237,122
  4. Step 4: Simplify right side
    502,889,372x = 564,357,213,470,842,880
  5. Step 5: Solve for x
    x = 564,357,213,470,842,880/502,889,372
  6. Step 6: Final answer
    x = 1,122,229,350.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.