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Finding the Third Proportional to 245,740,999 and 527,951,174

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Solution

The third proportional to 245,740,999 and 527,951,174 is: 1,134,252,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,740,999 : 527,951,174 = 527,951,174 : x
  2. Step 2: Convert to fraction form
    245,740,999/527,951,174 = 527,951,174/x
  3. Step 3: Cross multiply
    245,740,999x = 527,951,174 × 527,951,174
  4. Step 4: Simplify right side
    245,740,999x = 278,732,442,127,978,272
  5. Step 5: Solve for x
    x = 278,732,442,127,978,272/245,740,999
  6. Step 6: Final answer
    x = 1,134,252,905.55

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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.