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Finding the Third Proportional to 2,657,009 and 4,125,491

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Solution

The third proportional to 2,657,009 and 4,125,491 is: 6,405,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,009 : 4,125,491 = 4,125,491 : x
  2. Step 2: Convert to fraction form
    2,657,009/4,125,491 = 4,125,491/x
  3. Step 3: Cross multiply
    2,657,009x = 4,125,491 × 4,125,491
  4. Step 4: Simplify right side
    2,657,009x = 17,019,675,991,081
  5. Step 5: Solve for x
    x = 17,019,675,991,081/2,657,009
  6. Step 6: Final answer
    x = 6,405,577.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.