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Finding the Third Proportional to 450,932 and 1,066,412

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Solution

The third proportional to 450,932 and 1,066,412 is: 2,521,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,932 : 1,066,412 = 1,066,412 : x
  2. Step 2: Convert to fraction form
    450,932/1,066,412 = 1,066,412/x
  3. Step 3: Cross multiply
    450,932x = 1,066,412 × 1,066,412
  4. Step 4: Simplify right side
    450,932x = 1,137,234,553,744
  5. Step 5: Solve for x
    x = 1,137,234,553,744/450,932
  6. Step 6: Final answer
    x = 2,521,964.63

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.