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Finding the Third Proportional to 1,157,009 and 2,491,817

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Solution

The third proportional to 1,157,009 and 2,491,817 is: 5,366,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,009 : 2,491,817 = 2,491,817 : x
  2. Step 2: Convert to fraction form
    1,157,009/2,491,817 = 2,491,817/x
  3. Step 3: Cross multiply
    1,157,009x = 2,491,817 × 2,491,817
  4. Step 4: Simplify right side
    1,157,009x = 6,209,151,961,489
  5. Step 5: Solve for x
    x = 6,209,151,961,489/1,157,009
  6. Step 6: Final answer
    x = 5,366,554.59

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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.