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Finding the Third Proportional to 1,605,840 and 3,489,024

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Solution

The third proportional to 1,605,840 and 3,489,024 is: 7,580,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,840 : 3,489,024 = 3,489,024 : x
  2. Step 2: Convert to fraction form
    1,605,840/3,489,024 = 3,489,024/x
  3. Step 3: Cross multiply
    1,605,840x = 3,489,024 × 3,489,024
  4. Step 4: Simplify right side
    1,605,840x = 12,173,288,472,576
  5. Step 5: Solve for x
    x = 12,173,288,472,576/1,605,840
  6. Step 6: Final answer
    x = 7,580,635.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.