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Finding the Third Proportional to 1,722,024 and 3,585,670

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Solution

The third proportional to 1,722,024 and 3,585,670 is: 7,466,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722,024 : 3,585,670 = 3,585,670 : x
  2. Step 2: Convert to fraction form
    1,722,024/3,585,670 = 3,585,670/x
  3. Step 3: Cross multiply
    1,722,024x = 3,585,670 × 3,585,670
  4. Step 4: Simplify right side
    1,722,024x = 12,857,029,348,900
  5. Step 5: Solve for x
    x = 12,857,029,348,900/1,722,024
  6. Step 6: Final answer
    x = 7,466,231.22

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.