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Finding the Third Proportional to 2,586,505 and 6,097,111

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Solution

The third proportional to 2,586,505 and 6,097,111 is: 14,372,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586,505 : 6,097,111 = 6,097,111 : x
  2. Step 2: Convert to fraction form
    2,586,505/6,097,111 = 6,097,111/x
  3. Step 3: Cross multiply
    2,586,505x = 6,097,111 × 6,097,111
  4. Step 4: Simplify right side
    2,586,505x = 37,174,762,546,321
  5. Step 5: Solve for x
    x = 37,174,762,546,321/2,586,505
  6. Step 6: Final answer
    x = 14,372,584.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.