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Finding the Third Proportional to 465,933 and 1,008,033

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Solution

The third proportional to 465,933 and 1,008,033 is: 2,180,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,933 : 1,008,033 = 1,008,033 : x
  2. Step 2: Convert to fraction form
    465,933/1,008,033 = 1,008,033/x
  3. Step 3: Cross multiply
    465,933x = 1,008,033 × 1,008,033
  4. Step 4: Simplify right side
    465,933x = 1,016,130,529,089
  5. Step 5: Solve for x
    x = 1,016,130,529,089/465,933
  6. Step 6: Final answer
    x = 2,180,851.17

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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.