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Finding the Third Proportional to 589,079,755 and 878,511,201

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Solution

The third proportional to 589,079,755 and 878,511,201 is: 1,310,148,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,079,755 : 878,511,201 = 878,511,201 : x
  2. Step 2: Convert to fraction form
    589,079,755/878,511,201 = 878,511,201/x
  3. Step 3: Cross multiply
    589,079,755x = 878,511,201 × 878,511,201
  4. Step 4: Simplify right side
    589,079,755x = 771,781,930,282,462,464
  5. Step 5: Solve for x
    x = 771,781,930,282,462,464/589,079,755
  6. Step 6: Final answer
    x = 1,310,148,453.98

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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.