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Finding the Third Proportional to 1,612,730.25 and 3,464,504.16

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Solution

The third proportional to 1,612,730.25 and 3,464,504.16 is: 7,442,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612,730.25 : 3,464,504.16 = 3,464,504.16 : x
  2. Step 2: Convert to fraction form
    1,612,730.25/3,464,504.16 = 3,464,504.16/x
  3. Step 3: Cross multiply
    1,612,730.25x = 3,464,504.16 × 3,464,504.16
  4. Step 4: Simplify right side
    1,612,730.25x = 12,002,789,048,673.52
  5. Step 5: Solve for x
    x = 12,002,789,048,673.52/1,612,730.25
  6. Step 6: Final answer
    x = 7,442,527.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.