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Finding the Third Proportional to 465,660 and 1,005,504

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Solution

The third proportional to 465,660 and 1,005,504 is: 2,171,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,660 : 1,005,504 = 1,005,504 : x
  2. Step 2: Convert to fraction form
    465,660/1,005,504 = 1,005,504/x
  3. Step 3: Cross multiply
    465,660x = 1,005,504 × 1,005,504
  4. Step 4: Simplify right side
    465,660x = 1,011,038,294,016
  5. Step 5: Solve for x
    x = 1,011,038,294,016/465,660
  6. Step 6: Final answer
    x = 2,171,194.21

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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.