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Finding the Third Proportional to 712,272 and 1,450,928

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Solution

The third proportional to 712,272 and 1,450,928 is: 2,955,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,272 : 1,450,928 = 1,450,928 : x
  2. Step 2: Convert to fraction form
    712,272/1,450,928 = 1,450,928/x
  3. Step 3: Cross multiply
    712,272x = 1,450,928 × 1,450,928
  4. Step 4: Simplify right side
    712,272x = 2,105,192,061,184
  5. Step 5: Solve for x
    x = 2,105,192,061,184/712,272
  6. Step 6: Final answer
    x = 2,955,601.32

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.