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Finding the Third Proportional to 451,683 and 1,003,009.50

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Solution

The third proportional to 451,683 and 1,003,009.50 is: 2,227,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,683 : 1,003,009.50 = 1,003,009.50 : x
  2. Step 2: Convert to fraction form
    451,683/1,003,009.50 = 1,003,009.50/x
  3. Step 3: Cross multiply
    451,683x = 1,003,009.50 × 1,003,009.50
  4. Step 4: Simplify right side
    451,683x = 1,006,028,057,090.25
  5. Step 5: Solve for x
    x = 1,006,028,057,090.25/451,683
  6. Step 6: Final answer
    x = 2,227,287.85

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.