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Finding the Third Proportional to 467,564 and 1,008,097

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Solution

The third proportional to 467,564 and 1,008,097 is: 2,173,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,564 : 1,008,097 = 1,008,097 : x
  2. Step 2: Convert to fraction form
    467,564/1,008,097 = 1,008,097/x
  3. Step 3: Cross multiply
    467,564x = 1,008,097 × 1,008,097
  4. Step 4: Simplify right side
    467,564x = 1,016,259,561,409
  5. Step 5: Solve for x
    x = 1,016,259,561,409/467,564
  6. Step 6: Final answer
    x = 2,173,519.69

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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.