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Finding the Third Proportional to 675,872 and 1,434,304

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Solution

The third proportional to 675,872 and 1,434,304 is: 3,043,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,872 : 1,434,304 = 1,434,304 : x
  2. Step 2: Convert to fraction form
    675,872/1,434,304 = 1,434,304/x
  3. Step 3: Cross multiply
    675,872x = 1,434,304 × 1,434,304
  4. Step 4: Simplify right side
    675,872x = 2,057,227,964,416
  5. Step 5: Solve for x
    x = 2,057,227,964,416/675,872
  6. Step 6: Final answer
    x = 3,043,812.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.