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Finding the Third Proportional to 589,079,481.82 and 878,510,769.47

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Solution

The third proportional to 589,079,481.82 and 878,510,769.47 is: 1,310,147,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,079,481.82 : 878,510,769.47 = 878,510,769.47 : x
  2. Step 2: Convert to fraction form
    589,079,481.82/878,510,769.47 = 878,510,769.47/x
  3. Step 3: Cross multiply
    589,079,481.82x = 878,510,769.47 × 878,510,769.47
  4. Step 4: Simplify right side
    589,079,481.82x = 771,781,172,072,575,232
  5. Step 5: Solve for x
    x = 771,781,172,072,575,232/589,079,481.82
  6. Step 6: Final answer
    x = 1,310,147,774.44

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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.