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Finding the Third Proportional to 665,462 and 1,443,024

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Solution

The third proportional to 665,462 and 1,443,024 is: 3,129,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,462 : 1,443,024 = 1,443,024 : x
  2. Step 2: Convert to fraction form
    665,462/1,443,024 = 1,443,024/x
  3. Step 3: Cross multiply
    665,462x = 1,443,024 × 1,443,024
  4. Step 4: Simplify right side
    665,462x = 2,082,318,264,576
  5. Step 5: Solve for x
    x = 2,082,318,264,576/665,462
  6. Step 6: Final answer
    x = 3,129,131.74

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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.