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Finding the Third Proportional to 465,921 and 1,008,009

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Solution

The third proportional to 465,921 and 1,008,009 is: 2,180,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,921 : 1,008,009 = 1,008,009 : x
  2. Step 2: Convert to fraction form
    465,921/1,008,009 = 1,008,009/x
  3. Step 3: Cross multiply
    465,921x = 1,008,009 × 1,008,009
  4. Step 4: Simplify right side
    465,921x = 1,016,082,144,081
  5. Step 5: Solve for x
    x = 1,016,082,144,081/465,921
  6. Step 6: Final answer
    x = 2,180,803.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.