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Finding the Third Proportional to 564,115 and 1,174,886

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Solution

The third proportional to 564,115 and 1,174,886 is: 2,446,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,115 : 1,174,886 = 1,174,886 : x
  2. Step 2: Convert to fraction form
    564,115/1,174,886 = 1,174,886/x
  3. Step 3: Cross multiply
    564,115x = 1,174,886 × 1,174,886
  4. Step 4: Simplify right side
    564,115x = 1,380,357,112,996
  5. Step 5: Solve for x
    x = 1,380,357,112,996/564,115
  6. Step 6: Final answer
    x = 2,446,942.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.